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Finding the Third Proportional to 872,506 and 1,845,609

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Solution

The third proportional to 872,506 and 1,845,609 is: 3,904,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,506 : 1,845,609 = 1,845,609 : x
  2. Step 2: Convert to fraction form
    872,506/1,845,609 = 1,845,609/x
  3. Step 3: Cross multiply
    872,506x = 1,845,609 × 1,845,609
  4. Step 4: Simplify right side
    872,506x = 3,406,272,580,881
  5. Step 5: Solve for x
    x = 3,406,272,580,881/872,506
  6. Step 6: Final answer
    x = 3,904,010.49

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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.