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Finding the Third Proportional to 1,235,981 and 1,852,764

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Solution

The third proportional to 1,235,981 and 1,852,764 is: 2,777,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,981 : 1,852,764 = 1,852,764 : x
  2. Step 2: Convert to fraction form
    1,235,981/1,852,764 = 1,852,764/x
  3. Step 3: Cross multiply
    1,235,981x = 1,852,764 × 1,852,764
  4. Step 4: Simplify right side
    1,235,981x = 3,432,734,439,696
  5. Step 5: Solve for x
    x = 3,432,734,439,696/1,235,981
  6. Step 6: Final answer
    x = 2,777,335.93

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Why These Related Problems?

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