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Finding the Third Proportional to 997,656 and 2,415,228

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Solution

The third proportional to 997,656 and 2,415,228 is: 5,847,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,656 : 2,415,228 = 2,415,228 : x
  2. Step 2: Convert to fraction form
    997,656/2,415,228 = 2,415,228/x
  3. Step 3: Cross multiply
    997,656x = 2,415,228 × 2,415,228
  4. Step 4: Simplify right side
    997,656x = 5,833,326,291,984
  5. Step 5: Solve for x
    x = 5,833,326,291,984/997,656
  6. Step 6: Final answer
    x = 5,847,031.73

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.