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Finding the Third Proportional to 1,306,030 and 1,914,332

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Solution

The third proportional to 1,306,030 and 1,914,332 is: 2,805,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,030 : 1,914,332 = 1,914,332 : x
  2. Step 2: Convert to fraction form
    1,306,030/1,914,332 = 1,914,332/x
  3. Step 3: Cross multiply
    1,306,030x = 1,914,332 × 1,914,332
  4. Step 4: Simplify right side
    1,306,030x = 3,664,667,006,224
  5. Step 5: Solve for x
    x = 3,664,667,006,224/1,306,030
  6. Step 6: Final answer
    x = 2,805,959.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.