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Finding the Third Proportional to 1,001,294 and 1,549,473

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Solution

The third proportional to 1,001,294 and 1,549,473 is: 2,397,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,294 : 1,549,473 = 1,549,473 : x
  2. Step 2: Convert to fraction form
    1,001,294/1,549,473 = 1,549,473/x
  3. Step 3: Cross multiply
    1,001,294x = 1,549,473 × 1,549,473
  4. Step 4: Simplify right side
    1,001,294x = 2,400,866,577,729
  5. Step 5: Solve for x
    x = 2,400,866,577,729/1,001,294
  6. Step 6: Final answer
    x = 2,397,763.87

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