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Finding the Third Proportional to 652,432 and 1,433,168

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Solution

The third proportional to 652,432 and 1,433,168 is: 3,148,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,432 : 1,433,168 = 1,433,168 : x
  2. Step 2: Convert to fraction form
    652,432/1,433,168 = 1,433,168/x
  3. Step 3: Cross multiply
    652,432x = 1,433,168 × 1,433,168
  4. Step 4: Simplify right side
    652,432x = 2,053,970,516,224
  5. Step 5: Solve for x
    x = 2,053,970,516,224/652,432
  6. Step 6: Final answer
    x = 3,148,175.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.