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Finding the Third Proportional to 485,470 and 1,056,156

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Solution

The third proportional to 485,470 and 1,056,156 is: 2,297,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,470 : 1,056,156 = 1,056,156 : x
  2. Step 2: Convert to fraction form
    485,470/1,056,156 = 1,056,156/x
  3. Step 3: Cross multiply
    485,470x = 1,056,156 × 1,056,156
  4. Step 4: Simplify right side
    485,470x = 1,115,465,496,336
  5. Step 5: Solve for x
    x = 1,115,465,496,336/485,470
  6. Step 6: Final answer
    x = 2,297,702.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.