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Finding the Third Proportional to 740,286 and 1,592,865

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Solution

The third proportional to 740,286 and 1,592,865 is: 3,427,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,286 : 1,592,865 = 1,592,865 : x
  2. Step 2: Convert to fraction form
    740,286/1,592,865 = 1,592,865/x
  3. Step 3: Cross multiply
    740,286x = 1,592,865 × 1,592,865
  4. Step 4: Simplify right side
    740,286x = 2,537,218,908,225
  5. Step 5: Solve for x
    x = 2,537,218,908,225/740,286
  6. Step 6: Final answer
    x = 3,427,349.58

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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.