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Finding the Third Proportional to 434,964 and 955,464

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Solution

The third proportional to 434,964 and 955,464 is: 2,098,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,964 : 955,464 = 955,464 : x
  2. Step 2: Convert to fraction form
    434,964/955,464 = 955,464/x
  3. Step 3: Cross multiply
    434,964x = 955,464 × 955,464
  4. Step 4: Simplify right side
    434,964x = 912,911,455,296
  5. Step 5: Solve for x
    x = 912,911,455,296/434,964
  6. Step 6: Final answer
    x = 2,098,820.72

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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.