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Finding the Third Proportional to 1,114,803 and 1,679,464.13

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Solution

The third proportional to 1,114,803 and 1,679,464.13 is: 2,530,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,803 : 1,679,464.13 = 1,679,464.13 : x
  2. Step 2: Convert to fraction form
    1,114,803/1,679,464.13 = 1,679,464.13/x
  3. Step 3: Cross multiply
    1,114,803x = 1,679,464.13 × 1,679,464.13
  4. Step 4: Simplify right side
    1,114,803x = 2,820,599,747,162.02
  5. Step 5: Solve for x
    x = 2,820,599,747,162.02/1,114,803
  6. Step 6: Final answer
    x = 2,530,132.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.