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Finding the Third Proportional to 755,344 and 1,642,156

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Solution

The third proportional to 755,344 and 1,642,156 is: 3,570,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,344 : 1,642,156 = 1,642,156 : x
  2. Step 2: Convert to fraction form
    755,344/1,642,156 = 1,642,156/x
  3. Step 3: Cross multiply
    755,344x = 1,642,156 × 1,642,156
  4. Step 4: Simplify right side
    755,344x = 2,696,676,328,336
  5. Step 5: Solve for x
    x = 2,696,676,328,336/755,344
  6. Step 6: Final answer
    x = 3,570,130.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.