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Finding the Third Proportional to 705,550 and 1,548,129

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Solution

The third proportional to 705,550 and 1,548,129 is: 3,396,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,550 : 1,548,129 = 1,548,129 : x
  2. Step 2: Convert to fraction form
    705,550/1,548,129 = 1,548,129/x
  3. Step 3: Cross multiply
    705,550x = 1,548,129 × 1,548,129
  4. Step 4: Simplify right side
    705,550x = 2,396,703,400,641
  5. Step 5: Solve for x
    x = 2,396,703,400,641/705,550
  6. Step 6: Final answer
    x = 3,396,929.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.