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Finding the Third Proportional to 1,572,048 and 3,368,223

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Solution

The third proportional to 1,572,048 and 3,368,223 is: 7,216,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572,048 : 3,368,223 = 3,368,223 : x
  2. Step 2: Convert to fraction form
    1,572,048/3,368,223 = 3,368,223/x
  3. Step 3: Cross multiply
    1,572,048x = 3,368,223 × 3,368,223
  4. Step 4: Simplify right side
    1,572,048x = 11,344,926,177,729
  5. Step 5: Solve for x
    x = 11,344,926,177,729/1,572,048
  6. Step 6: Final answer
    x = 7,216,653.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.