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Finding the Third Proportional to 648,432 and 970,056

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Solution

The third proportional to 648,432 and 970,056 is: 1,451,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,432 : 970,056 = 970,056 : x
  2. Step 2: Convert to fraction form
    648,432/970,056 = 970,056/x
  3. Step 3: Cross multiply
    648,432x = 970,056 × 970,056
  4. Step 4: Simplify right side
    648,432x = 941,008,643,136
  5. Step 5: Solve for x
    x = 941,008,643,136/648,432
  6. Step 6: Final answer
    x = 1,451,206.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.