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Finding the Third Proportional to 832,098 and 1,218,528

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Solution

The third proportional to 832,098 and 1,218,528 is: 1,784,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,098 : 1,218,528 = 1,218,528 : x
  2. Step 2: Convert to fraction form
    832,098/1,218,528 = 1,218,528/x
  3. Step 3: Cross multiply
    832,098x = 1,218,528 × 1,218,528
  4. Step 4: Simplify right side
    832,098x = 1,484,810,486,784
  5. Step 5: Solve for x
    x = 1,484,810,486,784/832,098
  6. Step 6: Final answer
    x = 1,784,417.81

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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.