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Finding the Third Proportional to 1,123,578 and 2,457,360

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Solution

The third proportional to 1,123,578 and 2,457,360 is: 5,374,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,578 : 2,457,360 = 2,457,360 : x
  2. Step 2: Convert to fraction form
    1,123,578/2,457,360 = 2,457,360/x
  3. Step 3: Cross multiply
    1,123,578x = 2,457,360 × 2,457,360
  4. Step 4: Simplify right side
    1,123,578x = 6,038,618,169,600
  5. Step 5: Solve for x
    x = 6,038,618,169,600/1,123,578
  6. Step 6: Final answer
    x = 5,374,453.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.