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Finding the Third Proportional to 447,687 and 921,616.50

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Solution

The third proportional to 447,687 and 921,616.50 is: 1,897,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,687 : 921,616.50 = 921,616.50 : x
  2. Step 2: Convert to fraction form
    447,687/921,616.50 = 921,616.50/x
  3. Step 3: Cross multiply
    447,687x = 921,616.50 × 921,616.50
  4. Step 4: Simplify right side
    447,687x = 849,376,973,072.25
  5. Step 5: Solve for x
    x = 849,376,973,072.25/447,687
  6. Step 6: Final answer
    x = 1,897,256.28

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.