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Finding the Third Proportional to 429,522 and 944,004

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Solution

The third proportional to 429,522 and 944,004 is: 2,074,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,522 : 944,004 = 944,004 : x
  2. Step 2: Convert to fraction form
    429,522/944,004 = 944,004/x
  3. Step 3: Cross multiply
    429,522x = 944,004 × 944,004
  4. Step 4: Simplify right side
    429,522x = 891,143,552,016
  5. Step 5: Solve for x
    x = 891,143,552,016/429,522
  6. Step 6: Final answer
    x = 2,074,733.20

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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.