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Finding the Third Proportional to 1,141,574 and 1,679,259

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Solution

The third proportional to 1,141,574 and 1,679,259 is: 2,470,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141,574 : 1,679,259 = 1,679,259 : x
  2. Step 2: Convert to fraction form
    1,141,574/1,679,259 = 1,679,259/x
  3. Step 3: Cross multiply
    1,141,574x = 1,679,259 × 1,679,259
  4. Step 4: Simplify right side
    1,141,574x = 2,819,910,789,081
  5. Step 5: Solve for x
    x = 2,819,910,789,081/1,141,574
  6. Step 6: Final answer
    x = 2,470,195.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.