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Finding the Third Proportional to 2,947,347 and 4,686,734.25

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Solution

The third proportional to 2,947,347 and 4,686,734.25 is: 7,452,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,347 : 4,686,734.25 = 4,686,734.25 : x
  2. Step 2: Convert to fraction form
    2,947,347/4,686,734.25 = 4,686,734.25/x
  3. Step 3: Cross multiply
    2,947,347x = 4,686,734.25 × 4,686,734.25
  4. Step 4: Simplify right side
    2,947,347x = 21,965,477,930,123.06
  5. Step 5: Solve for x
    x = 21,965,477,930,123.06/2,947,347
  6. Step 6: Final answer
    x = 7,452,627.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.