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Finding the Third Proportional to 1,177,290 and 2,461,158

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Solution

The third proportional to 1,177,290 and 2,461,158 is: 5,145,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177,290 : 2,461,158 = 2,461,158 : x
  2. Step 2: Convert to fraction form
    1,177,290/2,461,158 = 2,461,158/x
  3. Step 3: Cross multiply
    1,177,290x = 2,461,158 × 2,461,158
  4. Step 4: Simplify right side
    1,177,290x = 6,057,298,700,964
  5. Step 5: Solve for x
    x = 6,057,298,700,964/1,177,290
  6. Step 6: Final answer
    x = 5,145,120.32

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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.