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Finding the Third Proportional to 2,587,120 and 5,627,258

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Solution

The third proportional to 2,587,120 and 5,627,258 is: 12,239,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,120 : 5,627,258 = 5,627,258 : x
  2. Step 2: Convert to fraction form
    2,587,120/5,627,258 = 5,627,258/x
  3. Step 3: Cross multiply
    2,587,120x = 5,627,258 × 5,627,258
  4. Step 4: Simplify right side
    2,587,120x = 31,666,032,598,564
  5. Step 5: Solve for x
    x = 31,666,032,598,564/2,587,120
  6. Step 6: Final answer
    x = 12,239,877.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.