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Finding the Third Proportional to 491,427 and 1,073,776.50

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Solution

The third proportional to 491,427 and 1,073,776.50 is: 2,346,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,427 : 1,073,776.50 = 1,073,776.50 : x
  2. Step 2: Convert to fraction form
    491,427/1,073,776.50 = 1,073,776.50/x
  3. Step 3: Cross multiply
    491,427x = 1,073,776.50 × 1,073,776.50
  4. Step 4: Simplify right side
    491,427x = 1,152,995,971,952.25
  5. Step 5: Solve for x
    x = 1,152,995,971,952.25/491,427
  6. Step 6: Final answer
    x = 2,346,220.24

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