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Finding the Third Proportional to 732,420 and 1,131,813

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Solution

The third proportional to 732,420 and 1,131,813 is: 1,748,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,420 : 1,131,813 = 1,131,813 : x
  2. Step 2: Convert to fraction form
    732,420/1,131,813 = 1,131,813/x
  3. Step 3: Cross multiply
    732,420x = 1,131,813 × 1,131,813
  4. Step 4: Simplify right side
    732,420x = 1,281,000,666,969
  5. Step 5: Solve for x
    x = 1,281,000,666,969/732,420
  6. Step 6: Final answer
    x = 1,748,997.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.