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Finding the Third Proportional to 964,624 and 1,419,053

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Solution

The third proportional to 964,624 and 1,419,053 is: 2,087,560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,624 : 1,419,053 = 1,419,053 : x
  2. Step 2: Convert to fraction form
    964,624/1,419,053 = 1,419,053/x
  3. Step 3: Cross multiply
    964,624x = 1,419,053 × 1,419,053
  4. Step 4: Simplify right side
    964,624x = 2,013,711,416,809
  5. Step 5: Solve for x
    x = 2,013,711,416,809/964,624
  6. Step 6: Final answer
    x = 2,087,560.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.