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Finding the Third Proportional to 1,881,216 and 2,838,784

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Solution

The third proportional to 1,881,216 and 2,838,784 is: 4,283,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881,216 : 2,838,784 = 2,838,784 : x
  2. Step 2: Convert to fraction form
    1,881,216/2,838,784 = 2,838,784/x
  3. Step 3: Cross multiply
    1,881,216x = 2,838,784 × 2,838,784
  4. Step 4: Simplify right side
    1,881,216x = 8,058,694,598,656
  5. Step 5: Solve for x
    x = 8,058,694,598,656/1,881,216
  6. Step 6: Final answer
    x = 4,283,768.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.