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Finding the Third Proportional to 434,020 and 950,792

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Solution

The third proportional to 434,020 and 950,792 is: 2,082,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,020 : 950,792 = 950,792 : x
  2. Step 2: Convert to fraction form
    434,020/950,792 = 950,792/x
  3. Step 3: Cross multiply
    434,020x = 950,792 × 950,792
  4. Step 4: Simplify right side
    434,020x = 904,005,427,264
  5. Step 5: Solve for x
    x = 904,005,427,264/434,020
  6. Step 6: Final answer
    x = 2,082,865.83

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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.