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Finding the Third Proportional to 608,439 and 954,421

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Solution

The third proportional to 608,439 and 954,421 is: 1,497,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,439 : 954,421 = 954,421 : x
  2. Step 2: Convert to fraction form
    608,439/954,421 = 954,421/x
  3. Step 3: Cross multiply
    608,439x = 954,421 × 954,421
  4. Step 4: Simplify right side
    608,439x = 910,919,445,241
  5. Step 5: Solve for x
    x = 910,919,445,241/608,439
  6. Step 6: Final answer
    x = 1,497,141.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.