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Finding the Third Proportional to 429,526 and 944,012

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Solution

The third proportional to 429,526 and 944,012 is: 2,074,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,526 : 944,012 = 944,012 : x
  2. Step 2: Convert to fraction form
    429,526/944,012 = 944,012/x
  3. Step 3: Cross multiply
    429,526x = 944,012 × 944,012
  4. Step 4: Simplify right side
    429,526x = 891,158,656,144
  5. Step 5: Solve for x
    x = 891,158,656,144/429,526
  6. Step 6: Final answer
    x = 2,074,749.04

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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.