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Finding the Third Proportional to 816,127 and 1,242,246

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Solution

The third proportional to 816,127 and 1,242,246 is: 1,890,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,127 : 1,242,246 = 1,242,246 : x
  2. Step 2: Convert to fraction form
    816,127/1,242,246 = 1,242,246/x
  3. Step 3: Cross multiply
    816,127x = 1,242,246 × 1,242,246
  4. Step 4: Simplify right side
    816,127x = 1,543,175,124,516
  5. Step 5: Solve for x
    x = 1,543,175,124,516/816,127
  6. Step 6: Final answer
    x = 1,890,851.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.