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Finding the Third Proportional to 658,984 and 1,438,820

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Solution

The third proportional to 658,984 and 1,438,820 is: 3,141,507.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,984 : 1,438,820 = 1,438,820 : x
  2. Step 2: Convert to fraction form
    658,984/1,438,820 = 1,438,820/x
  3. Step 3: Cross multiply
    658,984x = 1,438,820 × 1,438,820
  4. Step 4: Simplify right side
    658,984x = 2,070,202,992,400
  5. Step 5: Solve for x
    x = 2,070,202,992,400/658,984
  6. Step 6: Final answer
    x = 3,141,507.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.