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Finding the Third Proportional to 2,873,783.81 and 4,789,448.16

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Solution

The third proportional to 2,873,783.81 and 4,789,448.16 is: 7,982,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873,783.81 : 4,789,448.16 = 4,789,448.16 : x
  2. Step 2: Convert to fraction form
    2,873,783.81/4,789,448.16 = 4,789,448.16/x
  3. Step 3: Cross multiply
    2,873,783.81x = 4,789,448.16 × 4,789,448.16
  4. Step 4: Simplify right side
    2,873,783.81x = 22,938,813,641,406.52
  5. Step 5: Solve for x
    x = 22,938,813,641,406.52/2,873,783.81
  6. Step 6: Final answer
    x = 7,982,094.39

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.