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Finding the Third Proportional to 802,394 and 1,179,021

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Solution

The third proportional to 802,394 and 1,179,021 is: 1,732,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,394 : 1,179,021 = 1,179,021 : x
  2. Step 2: Convert to fraction form
    802,394/1,179,021 = 1,179,021/x
  3. Step 3: Cross multiply
    802,394x = 1,179,021 × 1,179,021
  4. Step 4: Simplify right side
    802,394x = 1,390,090,518,441
  5. Step 5: Solve for x
    x = 1,390,090,518,441/802,394
  6. Step 6: Final answer
    x = 1,732,428.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.