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Finding the Third Proportional to 1,258,165 and 2,692,657

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Solution

The third proportional to 1,258,165 and 2,692,657 is: 5,762,679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,165 : 2,692,657 = 2,692,657 : x
  2. Step 2: Convert to fraction form
    1,258,165/2,692,657 = 2,692,657/x
  3. Step 3: Cross multiply
    1,258,165x = 2,692,657 × 2,692,657
  4. Step 4: Simplify right side
    1,258,165x = 7,250,401,719,649
  5. Step 5: Solve for x
    x = 7,250,401,719,649/1,258,165
  6. Step 6: Final answer
    x = 5,762,679.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.