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Finding the Third Proportional to 978,484 and 1,481,260

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Solution

The third proportional to 978,484 and 1,481,260 is: 2,242,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,484 : 1,481,260 = 1,481,260 : x
  2. Step 2: Convert to fraction form
    978,484/1,481,260 = 1,481,260/x
  3. Step 3: Cross multiply
    978,484x = 1,481,260 × 1,481,260
  4. Step 4: Simplify right side
    978,484x = 2,194,131,187,600
  5. Step 5: Solve for x
    x = 2,194,131,187,600/978,484
  6. Step 6: Final answer
    x = 2,242,378.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.