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Finding the Third Proportional to 575,154 and 1,250,694

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Solution

The third proportional to 575,154 and 1,250,694 is: 2,719,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,154 : 1,250,694 = 1,250,694 : x
  2. Step 2: Convert to fraction form
    575,154/1,250,694 = 1,250,694/x
  3. Step 3: Cross multiply
    575,154x = 1,250,694 × 1,250,694
  4. Step 4: Simplify right side
    575,154x = 1,564,235,481,636
  5. Step 5: Solve for x
    x = 1,564,235,481,636/575,154
  6. Step 6: Final answer
    x = 2,719,681.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.