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Finding the Third Proportional to 523,085,154 and 1,129,381,840

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Solution

The third proportional to 523,085,154 and 1,129,381,840 is: 2,438,423,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,085,154 : 1,129,381,840 = 1,129,381,840 : x
  2. Step 2: Convert to fraction form
    523,085,154/1,129,381,840 = 1,129,381,840/x
  3. Step 3: Cross multiply
    523,085,154x = 1,129,381,840 × 1,129,381,840
  4. Step 4: Simplify right side
    523,085,154x = 1,275,503,340,521,785,600
  5. Step 5: Solve for x
    x = 1,275,503,340,521,785,600/523,085,154
  6. Step 6: Final answer
    x = 2,438,423,898.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.