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Finding the Third Proportional to 2,884,409 and 4,483,939.50

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Solution

The third proportional to 2,884,409 and 4,483,939.50 is: 6,970,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884,409 : 4,483,939.50 = 4,483,939.50 : x
  2. Step 2: Convert to fraction form
    2,884,409/4,483,939.50 = 4,483,939.50/x
  3. Step 3: Cross multiply
    2,884,409x = 4,483,939.50 × 4,483,939.50
  4. Step 4: Simplify right side
    2,884,409x = 20,105,713,439,660.25
  5. Step 5: Solve for x
    x = 20,105,713,439,660.25/2,884,409
  6. Step 6: Final answer
    x = 6,970,479.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.