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Finding the Third Proportional to 1,177,258.50 and 2,461,113

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Solution

The third proportional to 1,177,258.50 and 2,461,113 is: 5,145,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,258.50 : 2,461,113 = 2,461,113 : x
  2. Step 2: Convert to fraction form
    1,177,258.50/2,461,113 = 2,461,113/x
  3. Step 3: Cross multiply
    1,177,258.50x = 2,461,113 × 2,461,113
  4. Step 4: Simplify right side
    1,177,258.50x = 6,057,077,198,769
  5. Step 5: Solve for x
    x = 6,057,077,198,769/1,177,258.50
  6. Step 6: Final answer
    x = 5,145,069.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.