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Finding the Third Proportional to 2,378,562 and 3,390,691

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Solution

The third proportional to 2,378,562 and 3,390,691 is: 4,833,502.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,562 : 3,390,691 = 3,390,691 : x
  2. Step 2: Convert to fraction form
    2,378,562/3,390,691 = 3,390,691/x
  3. Step 3: Cross multiply
    2,378,562x = 3,390,691 × 3,390,691
  4. Step 4: Simplify right side
    2,378,562x = 11,496,785,457,481
  5. Step 5: Solve for x
    x = 11,496,785,457,481/2,378,562
  6. Step 6: Final answer
    x = 4,833,502.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.