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Finding the Third Proportional to 656,160.75 and 1,027,095.19

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Solution

The third proportional to 656,160.75 and 1,027,095.19 is: 1,607,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,160.75 : 1,027,095.19 = 1,027,095.19 : x
  2. Step 2: Convert to fraction form
    656,160.75/1,027,095.19 = 1,027,095.19/x
  3. Step 3: Cross multiply
    656,160.75x = 1,027,095.19 × 1,027,095.19
  4. Step 4: Simplify right side
    656,160.75x = 1,054,924,524,185.66
  5. Step 5: Solve for x
    x = 1,054,924,524,185.66/656,160.75
  6. Step 6: Final answer
    x = 1,607,722.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.