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Finding the Third Proportional to 1,121,569 and 1,686,848

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Solution

The third proportional to 1,121,569 and 1,686,848 is: 2,537,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,569 : 1,686,848 = 1,686,848 : x
  2. Step 2: Convert to fraction form
    1,121,569/1,686,848 = 1,686,848/x
  3. Step 3: Cross multiply
    1,121,569x = 1,686,848 × 1,686,848
  4. Step 4: Simplify right side
    1,121,569x = 2,845,456,175,104
  5. Step 5: Solve for x
    x = 2,845,456,175,104/1,121,569
  6. Step 6: Final answer
    x = 2,537,031.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.