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Finding the Third Proportional to 738,247 and 1,578,865

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Solution

The third proportional to 738,247 and 1,578,865 is: 3,376,667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,247 : 1,578,865 = 1,578,865 : x
  2. Step 2: Convert to fraction form
    738,247/1,578,865 = 1,578,865/x
  3. Step 3: Cross multiply
    738,247x = 1,578,865 × 1,578,865
  4. Step 4: Simplify right side
    738,247x = 2,492,814,688,225
  5. Step 5: Solve for x
    x = 2,492,814,688,225/738,247
  6. Step 6: Final answer
    x = 3,376,667.55

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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.