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Finding the Third Proportional to 2,873,125 and 4,284,772

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Solution

The third proportional to 2,873,125 and 4,284,772 is: 6,390,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873,125 : 4,284,772 = 4,284,772 : x
  2. Step 2: Convert to fraction form
    2,873,125/4,284,772 = 4,284,772/x
  3. Step 3: Cross multiply
    2,873,125x = 4,284,772 × 4,284,772
  4. Step 4: Simplify right side
    2,873,125x = 18,359,271,091,984
  5. Step 5: Solve for x
    x = 18,359,271,091,984/2,873,125
  6. Step 6: Final answer
    x = 6,390,000.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.