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Finding the Third Proportional to 641,448 and 1,015,642

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Solution

The third proportional to 641,448 and 1,015,642 is: 1,608,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,448 : 1,015,642 = 1,015,642 : x
  2. Step 2: Convert to fraction form
    641,448/1,015,642 = 1,015,642/x
  3. Step 3: Cross multiply
    641,448x = 1,015,642 × 1,015,642
  4. Step 4: Simplify right side
    641,448x = 1,031,528,672,164
  5. Step 5: Solve for x
    x = 1,031,528,672,164/641,448
  6. Step 6: Final answer
    x = 1,608,125.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.