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Finding the Third Proportional to 872,508 and 1,845,613

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Solution

The third proportional to 872,508 and 1,845,613 is: 3,904,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,508 : 1,845,613 = 1,845,613 : x
  2. Step 2: Convert to fraction form
    872,508/1,845,613 = 1,845,613/x
  3. Step 3: Cross multiply
    872,508x = 1,845,613 × 1,845,613
  4. Step 4: Simplify right side
    872,508x = 3,406,287,345,769
  5. Step 5: Solve for x
    x = 3,406,287,345,769/872,508
  6. Step 6: Final answer
    x = 3,904,018.47

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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.