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Finding the Third Proportional to 814,536 and 1,755,432

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Solution

The third proportional to 814,536 and 1,755,432 is: 3,783,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,536 : 1,755,432 = 1,755,432 : x
  2. Step 2: Convert to fraction form
    814,536/1,755,432 = 1,755,432/x
  3. Step 3: Cross multiply
    814,536x = 1,755,432 × 1,755,432
  4. Step 4: Simplify right side
    814,536x = 3,081,541,506,624
  5. Step 5: Solve for x
    x = 3,081,541,506,624/814,536
  6. Step 6: Final answer
    x = 3,783,186.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.