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Finding the Third Proportional to 2,149,641 and 4,692,258

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Solution

The third proportional to 2,149,641 and 4,692,258 is: 10,242,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149,641 : 4,692,258 = 4,692,258 : x
  2. Step 2: Convert to fraction form
    2,149,641/4,692,258 = 4,692,258/x
  3. Step 3: Cross multiply
    2,149,641x = 4,692,258 × 4,692,258
  4. Step 4: Simplify right side
    2,149,641x = 22,017,285,138,564
  5. Step 5: Solve for x
    x = 22,017,285,138,564/2,149,641
  6. Step 6: Final answer
    x = 10,242,307.97

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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.