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Finding the Third Proportional to 974,340,608 and 1,407,753,920

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Solution

The third proportional to 974,340,608 and 1,407,753,920 is: 2,033,961,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,340,608 : 1,407,753,920 = 1,407,753,920 : x
  2. Step 2: Convert to fraction form
    974,340,608/1,407,753,920 = 1,407,753,920/x
  3. Step 3: Cross multiply
    974,340,608x = 1,407,753,920 × 1,407,753,920
  4. Step 4: Simplify right side
    974,340,608x = 1,981,771,099,275,366,400
  5. Step 5: Solve for x
    x = 1,981,771,099,275,366,400/974,340,608
  6. Step 6: Final answer
    x = 2,033,961,309.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.