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Finding the Third Proportional to 503,790 and 1,037,136

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Solution

The third proportional to 503,790 and 1,037,136 is: 2,135,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,790 : 1,037,136 = 1,037,136 : x
  2. Step 2: Convert to fraction form
    503,790/1,037,136 = 1,037,136/x
  3. Step 3: Cross multiply
    503,790x = 1,037,136 × 1,037,136
  4. Step 4: Simplify right side
    503,790x = 1,075,651,082,496
  5. Step 5: Solve for x
    x = 1,075,651,082,496/503,790
  6. Step 6: Final answer
    x = 2,135,117.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.