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Finding the Third Proportional to 922,401 and 2,022,495

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Solution

The third proportional to 922,401 and 2,022,495 is: 4,434,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,401 : 2,022,495 = 2,022,495 : x
  2. Step 2: Convert to fraction form
    922,401/2,022,495 = 2,022,495/x
  3. Step 3: Cross multiply
    922,401x = 2,022,495 × 2,022,495
  4. Step 4: Simplify right side
    922,401x = 4,090,486,025,025
  5. Step 5: Solve for x
    x = 4,090,486,025,025/922,401
  6. Step 6: Final answer
    x = 4,434,607.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.