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Finding the Third Proportional to 438,476 and 946,892

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Solution

The third proportional to 438,476 and 946,892 is: 2,044,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,476 : 946,892 = 946,892 : x
  2. Step 2: Convert to fraction form
    438,476/946,892 = 946,892/x
  3. Step 3: Cross multiply
    438,476x = 946,892 × 946,892
  4. Step 4: Simplify right side
    438,476x = 896,604,459,664
  5. Step 5: Solve for x
    x = 896,604,459,664/438,476
  6. Step 6: Final answer
    x = 2,044,819.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.