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Finding the Third Proportional to 1,348,254 and 1,896,414

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Solution

The third proportional to 1,348,254 and 1,896,414 is: 2,667,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,254 : 1,896,414 = 1,896,414 : x
  2. Step 2: Convert to fraction form
    1,348,254/1,896,414 = 1,896,414/x
  3. Step 3: Cross multiply
    1,348,254x = 1,896,414 × 1,896,414
  4. Step 4: Simplify right side
    1,348,254x = 3,596,386,059,396
  5. Step 5: Solve for x
    x = 3,596,386,059,396/1,348,254
  6. Step 6: Final answer
    x = 2,667,439.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.