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Finding the Third Proportional to 738,082 and 1,598,572

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Solution

The third proportional to 738,082 and 1,598,572 is: 3,462,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,082 : 1,598,572 = 1,598,572 : x
  2. Step 2: Convert to fraction form
    738,082/1,598,572 = 1,598,572/x
  3. Step 3: Cross multiply
    738,082x = 1,598,572 × 1,598,572
  4. Step 4: Simplify right side
    738,082x = 2,555,432,439,184
  5. Step 5: Solve for x
    x = 2,555,432,439,184/738,082
  6. Step 6: Final answer
    x = 3,462,260.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.