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Finding the Third Proportional to 486,810 and 1,048,518

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Solution

The third proportional to 486,810 and 1,048,518 is: 2,258,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,810 : 1,048,518 = 1,048,518 : x
  2. Step 2: Convert to fraction form
    486,810/1,048,518 = 1,048,518/x
  3. Step 3: Cross multiply
    486,810x = 1,048,518 × 1,048,518
  4. Step 4: Simplify right side
    486,810x = 1,099,389,996,324
  5. Step 5: Solve for x
    x = 1,099,389,996,324/486,810
  6. Step 6: Final answer
    x = 2,258,355.41

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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.