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Finding the Third Proportional to 652,720 and 1,008,600

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Solution

The third proportional to 652,720 and 1,008,600 is: 1,558,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,720 : 1,008,600 = 1,008,600 : x
  2. Step 2: Convert to fraction form
    652,720/1,008,600 = 1,008,600/x
  3. Step 3: Cross multiply
    652,720x = 1,008,600 × 1,008,600
  4. Step 4: Simplify right side
    652,720x = 1,017,273,960,000
  5. Step 5: Solve for x
    x = 1,017,273,960,000/652,720
  6. Step 6: Final answer
    x = 1,558,515.08

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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.