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Finding the Third Proportional to 974,340,498 and 1,407,753,755

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Solution

The third proportional to 974,340,498 and 1,407,753,755 is: 2,033,961,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,340,498 : 1,407,753,755 = 1,407,753,755 : x
  2. Step 2: Convert to fraction form
    974,340,498/1,407,753,755 = 1,407,753,755/x
  3. Step 3: Cross multiply
    974,340,498x = 1,407,753,755 × 1,407,753,755
  4. Step 4: Simplify right side
    974,340,498x = 1,981,770,634,716,600,064
  5. Step 5: Solve for x
    x = 1,981,770,634,716,600,064/974,340,498
  6. Step 6: Final answer
    x = 2,033,961,062.67

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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.