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Finding the Third Proportional to 657,720 and 1,367,280

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Solution

The third proportional to 657,720 and 1,367,280 is: 2,842,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,720 : 1,367,280 = 1,367,280 : x
  2. Step 2: Convert to fraction form
    657,720/1,367,280 = 1,367,280/x
  3. Step 3: Cross multiply
    657,720x = 1,367,280 × 1,367,280
  4. Step 4: Simplify right side
    657,720x = 1,869,454,598,400
  5. Step 5: Solve for x
    x = 1,869,454,598,400/657,720
  6. Step 6: Final answer
    x = 2,842,325.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.