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Finding the Third Proportional to 1,159,935 and 1,774,571

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Solution

The third proportional to 1,159,935 and 1,774,571 is: 2,714,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,935 : 1,774,571 = 1,774,571 : x
  2. Step 2: Convert to fraction form
    1,159,935/1,774,571 = 1,774,571/x
  3. Step 3: Cross multiply
    1,159,935x = 1,774,571 × 1,774,571
  4. Step 4: Simplify right side
    1,159,935x = 3,149,102,234,041
  5. Step 5: Solve for x
    x = 3,149,102,234,041/1,159,935
  6. Step 6: Final answer
    x = 2,714,895.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.