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Finding the Third Proportional to 425,616 and 913,948

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Solution

The third proportional to 425,616 and 913,948 is: 1,962,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,616 : 913,948 = 913,948 : x
  2. Step 2: Convert to fraction form
    425,616/913,948 = 913,948/x
  3. Step 3: Cross multiply
    425,616x = 913,948 × 913,948
  4. Step 4: Simplify right side
    425,616x = 835,300,946,704
  5. Step 5: Solve for x
    x = 835,300,946,704/425,616
  6. Step 6: Final answer
    x = 1,962,569.42

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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.