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Finding the Third Proportional to 872,134,643 and 1,340,533,474

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Solution

The third proportional to 872,134,643 and 1,340,533,474 is: 2,060,496,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,134,643 : 1,340,533,474 = 1,340,533,474 : x
  2. Step 2: Convert to fraction form
    872,134,643/1,340,533,474 = 1,340,533,474/x
  3. Step 3: Cross multiply
    872,134,643x = 1,340,533,474 × 1,340,533,474
  4. Step 4: Simplify right side
    872,134,643x = 1,797,029,994,914,508,800
  5. Step 5: Solve for x
    x = 1,797,029,994,914,508,800/872,134,643
  6. Step 6: Final answer
    x = 2,060,496,059.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.