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Finding the Third Proportional to 1,064,805 and 2,309,271

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Solution

The third proportional to 1,064,805 and 2,309,271 is: 5,008,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,805 : 2,309,271 = 2,309,271 : x
  2. Step 2: Convert to fraction form
    1,064,805/2,309,271 = 2,309,271/x
  3. Step 3: Cross multiply
    1,064,805x = 2,309,271 × 2,309,271
  4. Step 4: Simplify right side
    1,064,805x = 5,332,732,551,441
  5. Step 5: Solve for x
    x = 5,332,732,551,441/1,064,805
  6. Step 6: Final answer
    x = 5,008,177.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.