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Finding the Third Proportional to 2,443,348 and 3,728,202

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Solution

The third proportional to 2,443,348 and 3,728,202 is: 5,688,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443,348 : 3,728,202 = 3,728,202 : x
  2. Step 2: Convert to fraction form
    2,443,348/3,728,202 = 3,728,202/x
  3. Step 3: Cross multiply
    2,443,348x = 3,728,202 × 3,728,202
  4. Step 4: Simplify right side
    2,443,348x = 13,899,490,152,804
  5. Step 5: Solve for x
    x = 13,899,490,152,804/2,443,348
  6. Step 6: Final answer
    x = 5,688,706.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.