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Finding the Third Proportional to 2,954,688 and 6,350,712

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Solution

The third proportional to 2,954,688 and 6,350,712 is: 13,650,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,688 : 6,350,712 = 6,350,712 : x
  2. Step 2: Convert to fraction form
    2,954,688/6,350,712 = 6,350,712/x
  3. Step 3: Cross multiply
    2,954,688x = 6,350,712 × 6,350,712
  4. Step 4: Simplify right side
    2,954,688x = 40,331,542,906,944
  5. Step 5: Solve for x
    x = 40,331,542,906,944/2,954,688
  6. Step 6: Final answer
    x = 13,650,017.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.