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Finding the Third Proportional to 468,028 and 972,040

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Solution

The third proportional to 468,028 and 972,040 is: 2,018,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,028 : 972,040 = 972,040 : x
  2. Step 2: Convert to fraction form
    468,028/972,040 = 972,040/x
  3. Step 3: Cross multiply
    468,028x = 972,040 × 972,040
  4. Step 4: Simplify right side
    468,028x = 944,861,761,600
  5. Step 5: Solve for x
    x = 944,861,761,600/468,028
  6. Step 6: Final answer
    x = 2,018,814.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.