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Finding the Third Proportional to 857,550 and 1,260,634.50

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Solution

The third proportional to 857,550 and 1,260,634.50 is: 1,853,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,550 : 1,260,634.50 = 1,260,634.50 : x
  2. Step 2: Convert to fraction form
    857,550/1,260,634.50 = 1,260,634.50/x
  3. Step 3: Cross multiply
    857,550x = 1,260,634.50 × 1,260,634.50
  4. Step 4: Simplify right side
    857,550x = 1,589,199,342,590.25
  5. Step 5: Solve for x
    x = 1,589,199,342,590.25/857,550
  6. Step 6: Final answer
    x = 1,853,185.64

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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.