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Finding the Third Proportional to 438,025 and 941,486

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Solution

The third proportional to 438,025 and 941,486 is: 2,023,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,025 : 941,486 = 941,486 : x
  2. Step 2: Convert to fraction form
    438,025/941,486 = 941,486/x
  3. Step 3: Cross multiply
    438,025x = 941,486 × 941,486
  4. Step 4: Simplify right side
    438,025x = 886,395,888,196
  5. Step 5: Solve for x
    x = 886,395,888,196/438,025
  6. Step 6: Final answer
    x = 2,023,619.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.