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Finding the Third Proportional to 429,074 and 925,596

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Solution

The third proportional to 429,074 and 925,596 is: 1,996,690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,074 : 925,596 = 925,596 : x
  2. Step 2: Convert to fraction form
    429,074/925,596 = 925,596/x
  3. Step 3: Cross multiply
    429,074x = 925,596 × 925,596
  4. Step 4: Simplify right side
    429,074x = 856,727,955,216
  5. Step 5: Solve for x
    x = 856,727,955,216/429,074
  6. Step 6: Final answer
    x = 1,996,690.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.