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Finding the Third Proportional to 662,072 and 1,403,592

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Solution

The third proportional to 662,072 and 1,403,592 is: 2,975,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,072 : 1,403,592 = 1,403,592 : x
  2. Step 2: Convert to fraction form
    662,072/1,403,592 = 1,403,592/x
  3. Step 3: Cross multiply
    662,072x = 1,403,592 × 1,403,592
  4. Step 4: Simplify right side
    662,072x = 1,970,070,502,464
  5. Step 5: Solve for x
    x = 1,970,070,502,464/662,072
  6. Step 6: Final answer
    x = 2,975,613.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.