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Finding the Third Proportional to 721,336 and 1,125,676

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Solution

The third proportional to 721,336 and 1,125,676 is: 1,756,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,336 : 1,125,676 = 1,125,676 : x
  2. Step 2: Convert to fraction form
    721,336/1,125,676 = 1,125,676/x
  3. Step 3: Cross multiply
    721,336x = 1,125,676 × 1,125,676
  4. Step 4: Simplify right side
    721,336x = 1,267,146,456,976
  5. Step 5: Solve for x
    x = 1,267,146,456,976/721,336
  6. Step 6: Final answer
    x = 1,756,666.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.