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Finding the Third Proportional to 437,803 and 958,643

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Solution

The third proportional to 437,803 and 958,643 is: 2,099,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,803 : 958,643 = 958,643 : x
  2. Step 2: Convert to fraction form
    437,803/958,643 = 958,643/x
  3. Step 3: Cross multiply
    437,803x = 958,643 × 958,643
  4. Step 4: Simplify right side
    437,803x = 918,996,401,449
  5. Step 5: Solve for x
    x = 918,996,401,449/437,803
  6. Step 6: Final answer
    x = 2,099,109.42

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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.