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Finding the Third Proportional to 1,041,747 and 2,112,471

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Solution

The third proportional to 1,041,747 and 2,112,471 is: 4,283,702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,747 : 2,112,471 = 2,112,471 : x
  2. Step 2: Convert to fraction form
    1,041,747/2,112,471 = 2,112,471/x
  3. Step 3: Cross multiply
    1,041,747x = 2,112,471 × 2,112,471
  4. Step 4: Simplify right side
    1,041,747x = 4,462,533,725,841
  5. Step 5: Solve for x
    x = 4,462,533,725,841/1,041,747
  6. Step 6: Final answer
    x = 4,283,702.02

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.