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Finding the Third Proportional to 439,025 and 943,506

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Solution

The third proportional to 439,025 and 943,506 is: 2,027,683.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,025 : 943,506 = 943,506 : x
  2. Step 2: Convert to fraction form
    439,025/943,506 = 943,506/x
  3. Step 3: Cross multiply
    439,025x = 943,506 × 943,506
  4. Step 4: Simplify right side
    439,025x = 890,203,572,036
  5. Step 5: Solve for x
    x = 890,203,572,036/439,025
  6. Step 6: Final answer
    x = 2,027,683.10

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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.