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Finding the Third Proportional to 441,253 and 963,426

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Solution

The third proportional to 441,253 and 963,426 is: 2,103,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,253 : 963,426 = 963,426 : x
  2. Step 2: Convert to fraction form
    441,253/963,426 = 963,426/x
  3. Step 3: Cross multiply
    441,253x = 963,426 × 963,426
  4. Step 4: Simplify right side
    441,253x = 928,189,657,476
  5. Step 5: Solve for x
    x = 928,189,657,476/441,253
  6. Step 6: Final answer
    x = 2,103,531.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.