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Finding the Third Proportional to 420,420 and 987,001.50

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Solution

The third proportional to 420,420 and 987,001.50 is: 2,317,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,420 : 987,001.50 = 987,001.50 : x
  2. Step 2: Convert to fraction form
    420,420/987,001.50 = 987,001.50/x
  3. Step 3: Cross multiply
    420,420x = 987,001.50 × 987,001.50
  4. Step 4: Simplify right side
    420,420x = 974,171,961,002.25
  5. Step 5: Solve for x
    x = 974,171,961,002.25/420,420
  6. Step 6: Final answer
    x = 2,317,139.91

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.