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Finding the Third Proportional to 1,309,650 and 1,969,348

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Solution

The third proportional to 1,309,650 and 1,969,348 is: 2,961,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,650 : 1,969,348 = 1,969,348 : x
  2. Step 2: Convert to fraction form
    1,309,650/1,969,348 = 1,969,348/x
  3. Step 3: Cross multiply
    1,309,650x = 1,969,348 × 1,969,348
  4. Step 4: Simplify right side
    1,309,650x = 3,878,331,545,104
  5. Step 5: Solve for x
    x = 3,878,331,545,104/1,309,650
  6. Step 6: Final answer
    x = 2,961,349.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.