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Finding the Third Proportional to 651,187,492 and 1,396,905,487

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Solution

The third proportional to 651,187,492 and 1,396,905,487 is: 2,996,594,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,187,492 : 1,396,905,487 = 1,396,905,487 : x
  2. Step 2: Convert to fraction form
    651,187,492/1,396,905,487 = 1,396,905,487/x
  3. Step 3: Cross multiply
    651,187,492x = 1,396,905,487 × 1,396,905,487
  4. Step 4: Simplify right side
    651,187,492x = 1,951,344,939,610,707,200
  5. Step 5: Solve for x
    x = 1,951,344,939,610,707,200/651,187,492
  6. Step 6: Final answer
    x = 2,996,594,626.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.