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Finding the Third Proportional to 1,125,826 and 1,658,961

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Solution

The third proportional to 1,125,826 and 1,658,961 is: 2,444,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,826 : 1,658,961 = 1,658,961 : x
  2. Step 2: Convert to fraction form
    1,125,826/1,658,961 = 1,658,961/x
  3. Step 3: Cross multiply
    1,125,826x = 1,658,961 × 1,658,961
  4. Step 4: Simplify right side
    1,125,826x = 2,752,151,599,521
  5. Step 5: Solve for x
    x = 2,752,151,599,521/1,125,826
  6. Step 6: Final answer
    x = 2,444,562.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.