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Finding the Third Proportional to 647,498 and 1,320,688

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Solution

The third proportional to 647,498 and 1,320,688 is: 2,693,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,498 : 1,320,688 = 1,320,688 : x
  2. Step 2: Convert to fraction form
    647,498/1,320,688 = 1,320,688/x
  3. Step 3: Cross multiply
    647,498x = 1,320,688 × 1,320,688
  4. Step 4: Simplify right side
    647,498x = 1,744,216,793,344
  5. Step 5: Solve for x
    x = 1,744,216,793,344/647,498
  6. Step 6: Final answer
    x = 2,693,779.43

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.