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Finding the Third Proportional to 1,041,749 and 2,112,475

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Solution

The third proportional to 1,041,749 and 2,112,475 is: 4,283,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,749 : 2,112,475 = 2,112,475 : x
  2. Step 2: Convert to fraction form
    1,041,749/2,112,475 = 2,112,475/x
  3. Step 3: Cross multiply
    1,041,749x = 2,112,475 × 2,112,475
  4. Step 4: Simplify right side
    1,041,749x = 4,462,550,625,625
  5. Step 5: Solve for x
    x = 4,462,550,625,625/1,041,749
  6. Step 6: Final answer
    x = 4,283,710.02

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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.