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Finding the Third Proportional to 665,802 and 1,438,014

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Solution

The third proportional to 665,802 and 1,438,014 is: 3,105,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,802 : 1,438,014 = 1,438,014 : x
  2. Step 2: Convert to fraction form
    665,802/1,438,014 = 1,438,014/x
  3. Step 3: Cross multiply
    665,802x = 1,438,014 × 1,438,014
  4. Step 4: Simplify right side
    665,802x = 2,067,884,264,196
  5. Step 5: Solve for x
    x = 2,067,884,264,196/665,802
  6. Step 6: Final answer
    x = 3,105,854.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.