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Finding the Third Proportional to 424,982 and 928,804

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Solution

The third proportional to 424,982 and 928,804 is: 2,029,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,982 : 928,804 = 928,804 : x
  2. Step 2: Convert to fraction form
    424,982/928,804 = 928,804/x
  3. Step 3: Cross multiply
    424,982x = 928,804 × 928,804
  4. Step 4: Simplify right side
    424,982x = 862,676,870,416
  5. Step 5: Solve for x
    x = 862,676,870,416/424,982
  6. Step 6: Final answer
    x = 2,029,913.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.