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Finding the Third Proportional to 495,640 and 1,055,216

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Solution

The third proportional to 495,640 and 1,055,216 is: 2,246,551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,640 : 1,055,216 = 1,055,216 : x
  2. Step 2: Convert to fraction form
    495,640/1,055,216 = 1,055,216/x
  3. Step 3: Cross multiply
    495,640x = 1,055,216 × 1,055,216
  4. Step 4: Simplify right side
    495,640x = 1,113,480,806,656
  5. Step 5: Solve for x
    x = 1,113,480,806,656/495,640
  6. Step 6: Final answer
    x = 2,246,551.54

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.