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Finding the Third Proportional to 2,947,362 and 4,686,747

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Solution

The third proportional to 2,947,362 and 4,686,747 is: 7,452,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,362 : 4,686,747 = 4,686,747 : x
  2. Step 2: Convert to fraction form
    2,947,362/4,686,747 = 4,686,747/x
  3. Step 3: Cross multiply
    2,947,362x = 4,686,747 × 4,686,747
  4. Step 4: Simplify right side
    2,947,362x = 21,965,597,442,009
  5. Step 5: Solve for x
    x = 21,965,597,442,009/2,947,362
  6. Step 6: Final answer
    x = 7,452,629.65

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