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Finding the Third Proportional to 661,064 and 1,448,656

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Solution

The third proportional to 661,064 and 1,448,656 is: 3,174,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,064 : 1,448,656 = 1,448,656 : x
  2. Step 2: Convert to fraction form
    661,064/1,448,656 = 1,448,656/x
  3. Step 3: Cross multiply
    661,064x = 1,448,656 × 1,448,656
  4. Step 4: Simplify right side
    661,064x = 2,098,604,206,336
  5. Step 5: Solve for x
    x = 2,098,604,206,336/661,064
  6. Step 6: Final answer
    x = 3,174,585.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.