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Finding the Third Proportional to 1,176,471 and 1,817,559

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Solution

The third proportional to 1,176,471 and 1,817,559 is: 2,807,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,471 : 1,817,559 = 1,817,559 : x
  2. Step 2: Convert to fraction form
    1,176,471/1,817,559 = 1,817,559/x
  3. Step 3: Cross multiply
    1,176,471x = 1,817,559 × 1,817,559
  4. Step 4: Simplify right side
    1,176,471x = 3,303,520,718,481
  5. Step 5: Solve for x
    x = 3,303,520,718,481/1,176,471
  6. Step 6: Final answer
    x = 2,807,991.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.