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Finding the Third Proportional to 434,952 and 955,440

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Solution

The third proportional to 434,952 and 955,440 is: 2,098,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,952 : 955,440 = 955,440 : x
  2. Step 2: Convert to fraction form
    434,952/955,440 = 955,440/x
  3. Step 3: Cross multiply
    434,952x = 955,440 × 955,440
  4. Step 4: Simplify right side
    434,952x = 912,865,593,600
  5. Step 5: Solve for x
    x = 912,865,593,600/434,952
  6. Step 6: Final answer
    x = 2,098,773.18

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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.