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Finding the Third Proportional to 774,374.55 and 1,660,847.10

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Solution

The third proportional to 774,374.55 and 1,660,847.10 is: 3,562,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,374.55 : 1,660,847.10 = 1,660,847.10 : x
  2. Step 2: Convert to fraction form
    774,374.55/1,660,847.10 = 1,660,847.10/x
  3. Step 3: Cross multiply
    774,374.55x = 1,660,847.10 × 1,660,847.10
  4. Step 4: Simplify right side
    774,374.55x = 2,758,413,081,793.02
  5. Step 5: Solve for x
    x = 2,758,413,081,793.02/774,374.55
  6. Step 6: Final answer
    x = 3,562,117.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.