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Finding the Third Proportional to 817,707 and 1,910,010

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Solution

The third proportional to 817,707 and 1,910,010 is: 4,461,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,707 : 1,910,010 = 1,910,010 : x
  2. Step 2: Convert to fraction form
    817,707/1,910,010 = 1,910,010/x
  3. Step 3: Cross multiply
    817,707x = 1,910,010 × 1,910,010
  4. Step 4: Simplify right side
    817,707x = 3,648,138,200,100
  5. Step 5: Solve for x
    x = 3,648,138,200,100/817,707
  6. Step 6: Final answer
    x = 4,461,424.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.