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Finding the Third Proportional to 1,877,434 and 4,037,903

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Solution

The third proportional to 1,877,434 and 4,037,903 is: 8,684,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877,434 : 4,037,903 = 4,037,903 : x
  2. Step 2: Convert to fraction form
    1,877,434/4,037,903 = 4,037,903/x
  3. Step 3: Cross multiply
    1,877,434x = 4,037,903 × 4,037,903
  4. Step 4: Simplify right side
    1,877,434x = 16,304,660,637,409
  5. Step 5: Solve for x
    x = 16,304,660,637,409/1,877,434
  6. Step 6: Final answer
    x = 8,684,545.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.