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Finding the Third Proportional to 765,599 and 922,243

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Solution

The third proportional to 765,599 and 922,243 is: 1,110,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,599 : 922,243 = 922,243 : x
  2. Step 2: Convert to fraction form
    765,599/922,243 = 922,243/x
  3. Step 3: Cross multiply
    765,599x = 922,243 × 922,243
  4. Step 4: Simplify right side
    765,599x = 850,532,151,049
  5. Step 5: Solve for x
    x = 850,532,151,049/765,599
  6. Step 6: Final answer
    x = 1,110,936.86

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.