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Finding the Third Proportional to 1,283,664 and 2,781,378

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Solution

The third proportional to 1,283,664 and 2,781,378 is: 6,026,548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,664 : 2,781,378 = 2,781,378 : x
  2. Step 2: Convert to fraction form
    1,283,664/2,781,378 = 2,781,378/x
  3. Step 3: Cross multiply
    1,283,664x = 2,781,378 × 2,781,378
  4. Step 4: Simplify right side
    1,283,664x = 7,736,063,578,884
  5. Step 5: Solve for x
    x = 7,736,063,578,884/1,283,664
  6. Step 6: Final answer
    x = 6,026,548.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.