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Finding the Third Proportional to 652,432 and 1,008,336

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Solution

The third proportional to 652,432 and 1,008,336 is: 1,558,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,432 : 1,008,336 = 1,008,336 : x
  2. Step 2: Convert to fraction form
    652,432/1,008,336 = 1,008,336/x
  3. Step 3: Cross multiply
    652,432x = 1,008,336 × 1,008,336
  4. Step 4: Simplify right side
    652,432x = 1,016,741,488,896
  5. Step 5: Solve for x
    x = 1,016,741,488,896/652,432
  6. Step 6: Final answer
    x = 1,558,386.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.