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Finding the Third Proportional to 799,414 and 1,712,784

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Solution

The third proportional to 799,414 and 1,712,784 is: 3,669,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,414 : 1,712,784 = 1,712,784 : x
  2. Step 2: Convert to fraction form
    799,414/1,712,784 = 1,712,784/x
  3. Step 3: Cross multiply
    799,414x = 1,712,784 × 1,712,784
  4. Step 4: Simplify right side
    799,414x = 2,933,629,030,656
  5. Step 5: Solve for x
    x = 2,933,629,030,656/799,414
  6. Step 6: Final answer
    x = 3,669,724.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.