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Finding the Third Proportional to 1,650,658.50 and 3,480,486.75

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Solution

The third proportional to 1,650,658.50 and 3,480,486.75 is: 7,338,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,658.50 : 3,480,486.75 = 3,480,486.75 : x
  2. Step 2: Convert to fraction form
    1,650,658.50/3,480,486.75 = 3,480,486.75/x
  3. Step 3: Cross multiply
    1,650,658.50x = 3,480,486.75 × 3,480,486.75
  4. Step 4: Simplify right side
    1,650,658.50x = 12,113,788,016,925.56
  5. Step 5: Solve for x
    x = 12,113,788,016,925.56/1,650,658.50
  6. Step 6: Final answer
    x = 7,338,760.87

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.