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Finding the Third Proportional to 619,947 and 1,314,291

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Solution

The third proportional to 619,947 and 1,314,291 is: 2,786,304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,947 : 1,314,291 = 1,314,291 : x
  2. Step 2: Convert to fraction form
    619,947/1,314,291 = 1,314,291/x
  3. Step 3: Cross multiply
    619,947x = 1,314,291 × 1,314,291
  4. Step 4: Simplify right side
    619,947x = 1,727,360,832,681
  5. Step 5: Solve for x
    x = 1,727,360,832,681/619,947
  6. Step 6: Final answer
    x = 2,786,304.04

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