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Finding the Third Proportional to 906,963 and 1,311,082.50

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Solution

The third proportional to 906,963 and 1,311,082.50 is: 1,895,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,963 : 1,311,082.50 = 1,311,082.50 : x
  2. Step 2: Convert to fraction form
    906,963/1,311,082.50 = 1,311,082.50/x
  3. Step 3: Cross multiply
    906,963x = 1,311,082.50 × 1,311,082.50
  4. Step 4: Simplify right side
    906,963x = 1,718,937,321,806.25
  5. Step 5: Solve for x
    x = 1,718,937,321,806.25/906,963
  6. Step 6: Final answer
    x = 1,895,267.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.