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Finding the Third Proportional to 2,431,428 and 5,628,324

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Solution

The third proportional to 2,431,428 and 5,628,324 is: 13,028,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,428 : 5,628,324 = 5,628,324 : x
  2. Step 2: Convert to fraction form
    2,431,428/5,628,324 = 5,628,324/x
  3. Step 3: Cross multiply
    2,431,428x = 5,628,324 × 5,628,324
  4. Step 4: Simplify right side
    2,431,428x = 31,678,031,048,976
  5. Step 5: Solve for x
    x = 31,678,031,048,976/2,431,428
  6. Step 6: Final answer
    x = 13,028,570.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.