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Finding the Third Proportional to 1,642,574 and 2,407,107

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Solution

The third proportional to 1,642,574 and 2,407,107 is: 3,527,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642,574 : 2,407,107 = 2,407,107 : x
  2. Step 2: Convert to fraction form
    1,642,574/2,407,107 = 2,407,107/x
  3. Step 3: Cross multiply
    1,642,574x = 2,407,107 × 2,407,107
  4. Step 4: Simplify right side
    1,642,574x = 5,794,164,109,449
  5. Step 5: Solve for x
    x = 5,794,164,109,449/1,642,574
  6. Step 6: Final answer
    x = 3,527,490.46

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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.