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Finding the Third Proportional to 740,145 and 1,538,466

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Solution

The third proportional to 740,145 and 1,538,466 is: 3,197,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,145 : 1,538,466 = 1,538,466 : x
  2. Step 2: Convert to fraction form
    740,145/1,538,466 = 1,538,466/x
  3. Step 3: Cross multiply
    740,145x = 1,538,466 × 1,538,466
  4. Step 4: Simplify right side
    740,145x = 2,366,877,633,156
  5. Step 5: Solve for x
    x = 2,366,877,633,156/740,145
  6. Step 6: Final answer
    x = 3,197,856.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.