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Finding the Third Proportional to 740,082 and 1,592,427

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Solution

The third proportional to 740,082 and 1,592,427 is: 3,426,409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,082 : 1,592,427 = 1,592,427 : x
  2. Step 2: Convert to fraction form
    740,082/1,592,427 = 1,592,427/x
  3. Step 3: Cross multiply
    740,082x = 1,592,427 × 1,592,427
  4. Step 4: Simplify right side
    740,082x = 2,535,823,750,329
  5. Step 5: Solve for x
    x = 2,535,823,750,329/740,082
  6. Step 6: Final answer
    x = 3,426,409.17

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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.