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Finding the Third Proportional to 492,184.50 and 1,023,657

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Solution

The third proportional to 492,184.50 and 1,023,657 is: 2,129,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,184.50 : 1,023,657 = 1,023,657 : x
  2. Step 2: Convert to fraction form
    492,184.50/1,023,657 = 1,023,657/x
  3. Step 3: Cross multiply
    492,184.50x = 1,023,657 × 1,023,657
  4. Step 4: Simplify right side
    492,184.50x = 1,047,873,653,649
  5. Step 5: Solve for x
    x = 1,047,873,653,649/492,184.50
  6. Step 6: Final answer
    x = 2,129,026.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.