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Finding the Third Proportional to 1,384,706 and 2,909,368

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Solution

The third proportional to 1,384,706 and 2,909,368 is: 6,112,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,706 : 2,909,368 = 2,909,368 : x
  2. Step 2: Convert to fraction form
    1,384,706/2,909,368 = 2,909,368/x
  3. Step 3: Cross multiply
    1,384,706x = 2,909,368 × 2,909,368
  4. Step 4: Simplify right side
    1,384,706x = 8,464,422,159,424
  5. Step 5: Solve for x
    x = 8,464,422,159,424/1,384,706
  6. Step 6: Final answer
    x = 6,112,793.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.