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Finding the Third Proportional to 642,492 and 1,522,098.84

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Solution

The third proportional to 642,492 and 1,522,098.84 is: 3,605,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,492 : 1,522,098.84 = 1,522,098.84 : x
  2. Step 2: Convert to fraction form
    642,492/1,522,098.84 = 1,522,098.84/x
  3. Step 3: Cross multiply
    642,492x = 1,522,098.84 × 1,522,098.84
  4. Step 4: Simplify right side
    642,492x = 2,316,784,890,145.09
  5. Step 5: Solve for x
    x = 2,316,784,890,145.09/642,492
  6. Step 6: Final answer
    x = 3,605,935.78

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.