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Finding the Third Proportional to 974,336,634 and 1,407,748,491

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Solution

The third proportional to 974,336,634 and 1,407,748,491 is: 2,033,953,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,336,634 : 1,407,748,491 = 1,407,748,491 : x
  2. Step 2: Convert to fraction form
    974,336,634/1,407,748,491 = 1,407,748,491/x
  3. Step 3: Cross multiply
    974,336,634x = 1,407,748,491 × 1,407,748,491
  4. Step 4: Simplify right side
    974,336,634x = 1,981,755,813,912,776,960
  5. Step 5: Solve for x
    x = 1,981,755,813,912,776,960/974,336,634
  6. Step 6: Final answer
    x = 2,033,953,917.73

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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.