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Finding the Third Proportional to 563,975 and 1,174,421

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Solution

The third proportional to 563,975 and 1,174,421 is: 2,445,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,975 : 1,174,421 = 1,174,421 : x
  2. Step 2: Convert to fraction form
    563,975/1,174,421 = 1,174,421/x
  3. Step 3: Cross multiply
    563,975x = 1,174,421 × 1,174,421
  4. Step 4: Simplify right side
    563,975x = 1,379,264,685,241
  5. Step 5: Solve for x
    x = 1,379,264,685,241/563,975
  6. Step 6: Final answer
    x = 2,445,613.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.