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Finding the Third Proportional to 437,782 and 943,928

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Solution

The third proportional to 437,782 and 943,928 is: 2,035,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,782 : 943,928 = 943,928 : x
  2. Step 2: Convert to fraction form
    437,782/943,928 = 943,928/x
  3. Step 3: Cross multiply
    437,782x = 943,928 × 943,928
  4. Step 4: Simplify right side
    437,782x = 891,000,069,184
  5. Step 5: Solve for x
    x = 891,000,069,184/437,782
  6. Step 6: Final answer
    x = 2,035,259.72

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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.