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Finding the Third Proportional to 608,606 and 913,023

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Solution

The third proportional to 608,606 and 913,023 is: 1,369,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,606 : 913,023 = 913,023 : x
  2. Step 2: Convert to fraction form
    608,606/913,023 = 913,023/x
  3. Step 3: Cross multiply
    608,606x = 913,023 × 913,023
  4. Step 4: Simplify right side
    608,606x = 833,610,998,529
  5. Step 5: Solve for x
    x = 833,610,998,529/608,606
  6. Step 6: Final answer
    x = 1,369,705.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.