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Finding the Third Proportional to 977,274 and 2,102,292

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Solution

The third proportional to 977,274 and 2,102,292 is: 4,522,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,274 : 2,102,292 = 2,102,292 : x
  2. Step 2: Convert to fraction form
    977,274/2,102,292 = 2,102,292/x
  3. Step 3: Cross multiply
    977,274x = 2,102,292 × 2,102,292
  4. Step 4: Simplify right side
    977,274x = 4,419,631,653,264
  5. Step 5: Solve for x
    x = 4,419,631,653,264/977,274
  6. Step 6: Final answer
    x = 4,522,407.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.