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Finding the Third Proportional to 1,384,972 and 2,127,486

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Solution

The third proportional to 1,384,972 and 2,127,486 is: 3,268,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,972 : 2,127,486 = 2,127,486 : x
  2. Step 2: Convert to fraction form
    1,384,972/2,127,486 = 2,127,486/x
  3. Step 3: Cross multiply
    1,384,972x = 2,127,486 × 2,127,486
  4. Step 4: Simplify right side
    1,384,972x = 4,526,196,680,196
  5. Step 5: Solve for x
    x = 4,526,196,680,196/1,384,972
  6. Step 6: Final answer
    x = 3,268,078.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.