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Finding the Third Proportional to 1,034,784 and 2,220,768

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Solution

The third proportional to 1,034,784 and 2,220,768 is: 4,766,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,784 : 2,220,768 = 2,220,768 : x
  2. Step 2: Convert to fraction form
    1,034,784/2,220,768 = 2,220,768/x
  3. Step 3: Cross multiply
    1,034,784x = 2,220,768 × 2,220,768
  4. Step 4: Simplify right side
    1,034,784x = 4,931,810,509,824
  5. Step 5: Solve for x
    x = 4,931,810,509,824/1,034,784
  6. Step 6: Final answer
    x = 4,766,028.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.