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Finding the Third Proportional to 434,023 and 950,798

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Solution

The third proportional to 434,023 and 950,798 is: 2,082,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,023 : 950,798 = 950,798 : x
  2. Step 2: Convert to fraction form
    434,023/950,798 = 950,798/x
  3. Step 3: Cross multiply
    434,023x = 950,798 × 950,798
  4. Step 4: Simplify right side
    434,023x = 904,016,836,804
  5. Step 5: Solve for x
    x = 904,016,836,804/434,023
  6. Step 6: Final answer
    x = 2,082,877.72

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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.