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Finding the Third Proportional to 655,720 and 1,042,656

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Solution

The third proportional to 655,720 and 1,042,656 is: 1,657,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,720 : 1,042,656 = 1,042,656 : x
  2. Step 2: Convert to fraction form
    655,720/1,042,656 = 1,042,656/x
  3. Step 3: Cross multiply
    655,720x = 1,042,656 × 1,042,656
  4. Step 4: Simplify right side
    655,720x = 1,087,131,534,336
  5. Step 5: Solve for x
    x = 1,087,131,534,336/655,720
  6. Step 6: Final answer
    x = 1,657,920.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.