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Finding the Third Proportional to 657,079.59 and 1,412,323.59

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Solution

The third proportional to 657,079.59 and 1,412,323.59 is: 3,035,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,079.59 : 1,412,323.59 = 1,412,323.59 : x
  2. Step 2: Convert to fraction form
    657,079.59/1,412,323.59 = 1,412,323.59/x
  3. Step 3: Cross multiply
    657,079.59x = 1,412,323.59 × 1,412,323.59
  4. Step 4: Simplify right side
    657,079.59x = 1,994,657,933,462.92
  5. Step 5: Solve for x
    x = 1,994,657,933,462.92/657,079.59
  6. Step 6: Final answer
    x = 3,035,641.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.