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Finding the Third Proportional to 678,228 and 1,048,518

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Solution

The third proportional to 678,228 and 1,048,518 is: 1,620,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,228 : 1,048,518 = 1,048,518 : x
  2. Step 2: Convert to fraction form
    678,228/1,048,518 = 1,048,518/x
  3. Step 3: Cross multiply
    678,228x = 1,048,518 × 1,048,518
  4. Step 4: Simplify right side
    678,228x = 1,099,389,996,324
  5. Step 5: Solve for x
    x = 1,099,389,996,324/678,228
  6. Step 6: Final answer
    x = 1,620,974.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.