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Finding the Third Proportional to 654,894 and 1,447,432

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Solution

The third proportional to 654,894 and 1,447,432 is: 3,199,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,894 : 1,447,432 = 1,447,432 : x
  2. Step 2: Convert to fraction form
    654,894/1,447,432 = 1,447,432/x
  3. Step 3: Cross multiply
    654,894x = 1,447,432 × 1,447,432
  4. Step 4: Simplify right side
    654,894x = 2,095,059,394,624
  5. Step 5: Solve for x
    x = 2,095,059,394,624/654,894
  6. Step 6: Final answer
    x = 3,199,081.68

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.