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Finding the Third Proportional to 434,572 and 941,499

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Solution

The third proportional to 434,572 and 941,499 is: 2,039,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,572 : 941,499 = 941,499 : x
  2. Step 2: Convert to fraction form
    434,572/941,499 = 941,499/x
  3. Step 3: Cross multiply
    434,572x = 941,499 × 941,499
  4. Step 4: Simplify right side
    434,572x = 886,420,367,001
  5. Step 5: Solve for x
    x = 886,420,367,001/434,572
  6. Step 6: Final answer
    x = 2,039,754.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.