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Finding the Third Proportional to 720,676 and 1,530,246

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Solution

The third proportional to 720,676 and 1,530,246 is: 3,249,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,676 : 1,530,246 = 1,530,246 : x
  2. Step 2: Convert to fraction form
    720,676/1,530,246 = 1,530,246/x
  3. Step 3: Cross multiply
    720,676x = 1,530,246 × 1,530,246
  4. Step 4: Simplify right side
    720,676x = 2,341,652,820,516
  5. Step 5: Solve for x
    x = 2,341,652,820,516/720,676
  6. Step 6: Final answer
    x = 3,249,244.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.