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Finding the Third Proportional to 832,154 and 1,218,609

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Solution

The third proportional to 832,154 and 1,218,609 is: 1,784,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,154 : 1,218,609 = 1,218,609 : x
  2. Step 2: Convert to fraction form
    832,154/1,218,609 = 1,218,609/x
  3. Step 3: Cross multiply
    832,154x = 1,218,609 × 1,218,609
  4. Step 4: Simplify right side
    832,154x = 1,485,007,894,881
  5. Step 5: Solve for x
    x = 1,485,007,894,881/832,154
  6. Step 6: Final answer
    x = 1,784,534.95

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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.