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Finding the Third Proportional to 925,657 and 2,024,329

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Solution

The third proportional to 925,657 and 2,024,329 is: 4,427,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,657 : 2,024,329 = 2,024,329 : x
  2. Step 2: Convert to fraction form
    925,657/2,024,329 = 2,024,329/x
  3. Step 3: Cross multiply
    925,657x = 2,024,329 × 2,024,329
  4. Step 4: Simplify right side
    925,657x = 4,097,907,900,241
  5. Step 5: Solve for x
    x = 4,097,907,900,241/925,657
  6. Step 6: Final answer
    x = 4,427,026.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.