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Finding the Third Proportional to 500,770 and 1,061,136

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Solution

The third proportional to 500,770 and 1,061,136 is: 2,248,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,770 : 1,061,136 = 1,061,136 : x
  2. Step 2: Convert to fraction form
    500,770/1,061,136 = 1,061,136/x
  3. Step 3: Cross multiply
    500,770x = 1,061,136 × 1,061,136
  4. Step 4: Simplify right side
    500,770x = 1,126,009,610,496
  5. Step 5: Solve for x
    x = 1,126,009,610,496/500,770
  6. Step 6: Final answer
    x = 2,248,556.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.