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Finding the Third Proportional to 434,979 and 955,065

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Solution

The third proportional to 434,979 and 955,065 is: 2,096,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,979 : 955,065 = 955,065 : x
  2. Step 2: Convert to fraction form
    434,979/955,065 = 955,065/x
  3. Step 3: Cross multiply
    434,979x = 955,065 × 955,065
  4. Step 4: Simplify right side
    434,979x = 912,149,154,225
  5. Step 5: Solve for x
    x = 912,149,154,225/434,979
  6. Step 6: Final answer
    x = 2,096,995.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.