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Finding the Third Proportional to 1,153,120,523 and 1,722,124,486

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Solution

The third proportional to 1,153,120,523 and 1,722,124,486 is: 2,571,901,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,120,523 : 1,722,124,486 = 1,722,124,486 : x
  2. Step 2: Convert to fraction form
    1,153,120,523/1,722,124,486 = 1,722,124,486/x
  3. Step 3: Cross multiply
    1,153,120,523x = 1,722,124,486 × 1,722,124,486
  4. Step 4: Simplify right side
    1,153,120,523x = 2,965,712,745,280,764,416
  5. Step 5: Solve for x
    x = 2,965,712,745,280,764,416/1,153,120,523
  6. Step 6: Final answer
    x = 2,571,901,797.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.