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Finding the Third Proportional to 1,028,767 and 1,528,247

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Solution

The third proportional to 1,028,767 and 1,528,247 is: 2,270,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,767 : 1,528,247 = 1,528,247 : x
  2. Step 2: Convert to fraction form
    1,028,767/1,528,247 = 1,528,247/x
  3. Step 3: Cross multiply
    1,028,767x = 1,528,247 × 1,528,247
  4. Step 4: Simplify right side
    1,028,767x = 2,335,538,893,009
  5. Step 5: Solve for x
    x = 2,335,538,893,009/1,028,767
  6. Step 6: Final answer
    x = 2,270,231.15

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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.