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Finding the Third Proportional to 832,498 and 1,964,569

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Solution

The third proportional to 832,498 and 1,964,569 is: 4,636,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,498 : 1,964,569 = 1,964,569 : x
  2. Step 2: Convert to fraction form
    832,498/1,964,569 = 1,964,569/x
  3. Step 3: Cross multiply
    832,498x = 1,964,569 × 1,964,569
  4. Step 4: Simplify right side
    832,498x = 3,859,531,355,761
  5. Step 5: Solve for x
    x = 3,859,531,355,761/832,498
  6. Step 6: Final answer
    x = 4,636,084.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.