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Finding the Third Proportional to 639,261 and 1,378,153.50

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Solution

The third proportional to 639,261 and 1,378,153.50 is: 2,971,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,261 : 1,378,153.50 = 1,378,153.50 : x
  2. Step 2: Convert to fraction form
    639,261/1,378,153.50 = 1,378,153.50/x
  3. Step 3: Cross multiply
    639,261x = 1,378,153.50 × 1,378,153.50
  4. Step 4: Simplify right side
    639,261x = 1,899,307,069,562.25
  5. Step 5: Solve for x
    x = 1,899,307,069,562.25/639,261
  6. Step 6: Final answer
    x = 2,971,097.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.