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Finding the Third Proportional to 713,171 and 1,585,788

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Solution

The third proportional to 713,171 and 1,585,788 is: 3,526,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,171 : 1,585,788 = 1,585,788 : x
  2. Step 2: Convert to fraction form
    713,171/1,585,788 = 1,585,788/x
  3. Step 3: Cross multiply
    713,171x = 1,585,788 × 1,585,788
  4. Step 4: Simplify right side
    713,171x = 2,514,723,580,944
  5. Step 5: Solve for x
    x = 2,514,723,580,944/713,171
  6. Step 6: Final answer
    x = 3,526,115.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.