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Finding the Third Proportional to 832,102 and 1,218,534

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Solution

The third proportional to 832,102 and 1,218,534 is: 1,784,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,102 : 1,218,534 = 1,218,534 : x
  2. Step 2: Convert to fraction form
    832,102/1,218,534 = 1,218,534/x
  3. Step 3: Cross multiply
    832,102x = 1,218,534 × 1,218,534
  4. Step 4: Simplify right side
    832,102x = 1,484,825,109,156
  5. Step 5: Solve for x
    x = 1,484,825,109,156/832,102
  6. Step 6: Final answer
    x = 1,784,426.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.