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Finding the Third Proportional to 740,642 and 1,586,257

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Solution

The third proportional to 740,642 and 1,586,257 is: 3,397,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,642 : 1,586,257 = 1,586,257 : x
  2. Step 2: Convert to fraction form
    740,642/1,586,257 = 1,586,257/x
  3. Step 3: Cross multiply
    740,642x = 1,586,257 × 1,586,257
  4. Step 4: Simplify right side
    740,642x = 2,516,211,270,049
  5. Step 5: Solve for x
    x = 2,516,211,270,049/740,642
  6. Step 6: Final answer
    x = 3,397,338.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.