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Finding the Third Proportional to 659,040 and 1,438,896

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Solution

The third proportional to 659,040 and 1,438,896 is: 3,141,572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,040 : 1,438,896 = 1,438,896 : x
  2. Step 2: Convert to fraction form
    659,040/1,438,896 = 1,438,896/x
  3. Step 3: Cross multiply
    659,040x = 1,438,896 × 1,438,896
  4. Step 4: Simplify right side
    659,040x = 2,070,421,698,816
  5. Step 5: Solve for x
    x = 2,070,421,698,816/659,040
  6. Step 6: Final answer
    x = 3,141,572.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.