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Finding the Third Proportional to 657,722 and 1,367,284

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Solution

The third proportional to 657,722 and 1,367,284 is: 2,842,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,722 : 1,367,284 = 1,367,284 : x
  2. Step 2: Convert to fraction form
    657,722/1,367,284 = 1,367,284/x
  3. Step 3: Cross multiply
    657,722x = 1,367,284 × 1,367,284
  4. Step 4: Simplify right side
    657,722x = 1,869,465,536,656
  5. Step 5: Solve for x
    x = 1,869,465,536,656/657,722
  6. Step 6: Final answer
    x = 2,842,333.90

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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.