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Finding the Third Proportional to 965,682 and 1,437,102

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Solution

The third proportional to 965,682 and 1,437,102 is: 2,138,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,682 : 1,437,102 = 1,437,102 : x
  2. Step 2: Convert to fraction form
    965,682/1,437,102 = 1,437,102/x
  3. Step 3: Cross multiply
    965,682x = 1,437,102 × 1,437,102
  4. Step 4: Simplify right side
    965,682x = 2,065,262,158,404
  5. Step 5: Solve for x
    x = 2,065,262,158,404/965,682
  6. Step 6: Final answer
    x = 2,138,656.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.