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Finding the Third Proportional to 2,428,133 and 3,563,455

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Solution

The third proportional to 2,428,133 and 3,563,455 is: 5,229,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,133 : 3,563,455 = 3,563,455 : x
  2. Step 2: Convert to fraction form
    2,428,133/3,563,455 = 3,563,455/x
  3. Step 3: Cross multiply
    2,428,133x = 3,563,455 × 3,563,455
  4. Step 4: Simplify right side
    2,428,133x = 12,698,211,537,025
  5. Step 5: Solve for x
    x = 12,698,211,537,025/2,428,133
  6. Step 6: Final answer
    x = 5,229,619.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.