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Finding the Third Proportional to 2,543,657 and 5,390,578

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Solution

The third proportional to 2,543,657 and 5,390,578 is: 11,423,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543,657 : 5,390,578 = 5,390,578 : x
  2. Step 2: Convert to fraction form
    2,543,657/5,390,578 = 5,390,578/x
  3. Step 3: Cross multiply
    2,543,657x = 5,390,578 × 5,390,578
  4. Step 4: Simplify right side
    2,543,657x = 29,058,331,174,084
  5. Step 5: Solve for x
    x = 29,058,331,174,084/2,543,657
  6. Step 6: Final answer
    x = 11,423,840.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.