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Finding the Third Proportional to 546,862,923 and 781,454,395

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Solution

The third proportional to 546,862,923 and 781,454,395 is: 1,116,680,151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,862,923 : 781,454,395 = 781,454,395 : x
  2. Step 2: Convert to fraction form
    546,862,923/781,454,395 = 781,454,395/x
  3. Step 3: Cross multiply
    546,862,923x = 781,454,395 × 781,454,395
  4. Step 4: Simplify right side
    546,862,923x = 610,670,971,464,816,000
  5. Step 5: Solve for x
    x = 610,670,971,464,816,000/546,862,923
  6. Step 6: Final answer
    x = 1,116,680,151.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.