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Finding the Third Proportional to 667,785 and 1,574,787

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Solution

The third proportional to 667,785 and 1,574,787 is: 3,713,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,785 : 1,574,787 = 1,574,787 : x
  2. Step 2: Convert to fraction form
    667,785/1,574,787 = 1,574,787/x
  3. Step 3: Cross multiply
    667,785x = 1,574,787 × 1,574,787
  4. Step 4: Simplify right side
    667,785x = 2,479,954,095,369
  5. Step 5: Solve for x
    x = 2,479,954,095,369/667,785
  6. Step 6: Final answer
    x = 3,713,701.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.