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Finding the Third Proportional to 466,254 and 1,000,464

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Solution

The third proportional to 466,254 and 1,000,464 is: 2,146,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,254 : 1,000,464 = 1,000,464 : x
  2. Step 2: Convert to fraction form
    466,254/1,000,464 = 1,000,464/x
  3. Step 3: Cross multiply
    466,254x = 1,000,464 × 1,000,464
  4. Step 4: Simplify right side
    466,254x = 1,000,928,215,296
  5. Step 5: Solve for x
    x = 1,000,928,215,296/466,254
  6. Step 6: Final answer
    x = 2,146,744.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.