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Finding the Third Proportional to 2,953,734 and 6,454,164

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Solution

The third proportional to 2,953,734 and 6,454,164 is: 14,102,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953,734 : 6,454,164 = 6,454,164 : x
  2. Step 2: Convert to fraction form
    2,953,734/6,454,164 = 6,454,164/x
  3. Step 3: Cross multiply
    2,953,734x = 6,454,164 × 6,454,164
  4. Step 4: Simplify right side
    2,953,734x = 41,656,232,938,896
  5. Step 5: Solve for x
    x = 41,656,232,938,896/2,953,734
  6. Step 6: Final answer
    x = 14,102,906.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.