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Finding the Third Proportional to 657,121.50 and 1,426,344

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Solution

The third proportional to 657,121.50 and 1,426,344 is: 3,096,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,121.50 : 1,426,344 = 1,426,344 : x
  2. Step 2: Convert to fraction form
    657,121.50/1,426,344 = 1,426,344/x
  3. Step 3: Cross multiply
    657,121.50x = 1,426,344 × 1,426,344
  4. Step 4: Simplify right side
    657,121.50x = 2,034,457,206,336
  5. Step 5: Solve for x
    x = 2,034,457,206,336/657,121.50
  6. Step 6: Final answer
    x = 3,096,013.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.