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Finding the Third Proportional to 4,497,441 and 6,908,619

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Solution

The third proportional to 4,497,441 and 6,908,619 is: 10,612,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497,441 : 6,908,619 = 6,908,619 : x
  2. Step 2: Convert to fraction form
    4,497,441/6,908,619 = 6,908,619/x
  3. Step 3: Cross multiply
    4,497,441x = 6,908,619 × 6,908,619
  4. Step 4: Simplify right side
    4,497,441x = 47,729,016,487,161
  5. Step 5: Solve for x
    x = 47,729,016,487,161/4,497,441
  6. Step 6: Final answer
    x = 10,612,483.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.