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Finding the Third Proportional to 1,776,714 and 2,532,177

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Solution

The third proportional to 1,776,714 and 2,532,177 is: 3,608,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,714 : 2,532,177 = 2,532,177 : x
  2. Step 2: Convert to fraction form
    1,776,714/2,532,177 = 2,532,177/x
  3. Step 3: Cross multiply
    1,776,714x = 2,532,177 × 2,532,177
  4. Step 4: Simplify right side
    1,776,714x = 6,411,920,359,329
  5. Step 5: Solve for x
    x = 6,411,920,359,329/1,776,714
  6. Step 6: Final answer
    x = 3,608,864.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.