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Finding the Third Proportional to 687,455,529.75 and 1,406,679,441.75

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Solution

The third proportional to 687,455,529.75 and 1,406,679,441.75 is: 2,878,363,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,455,529.75 : 1,406,679,441.75 = 1,406,679,441.75 : x
  2. Step 2: Convert to fraction form
    687,455,529.75/1,406,679,441.75 = 1,406,679,441.75/x
  3. Step 3: Cross multiply
    687,455,529.75x = 1,406,679,441.75 × 1,406,679,441.75
  4. Step 4: Simplify right side
    687,455,529.75x = 1,978,747,051,842,091,520
  5. Step 5: Solve for x
    x = 1,978,747,051,842,091,520/687,455,529.75
  6. Step 6: Final answer
    x = 2,878,363,714.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.