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Finding the Third Proportional to 571,610 and 1,219,136

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Solution

The third proportional to 571,610 and 1,219,136 is: 2,600,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,610 : 1,219,136 = 1,219,136 : x
  2. Step 2: Convert to fraction form
    571,610/1,219,136 = 1,219,136/x
  3. Step 3: Cross multiply
    571,610x = 1,219,136 × 1,219,136
  4. Step 4: Simplify right side
    571,610x = 1,486,292,586,496
  5. Step 5: Solve for x
    x = 1,486,292,586,496/571,610
  6. Step 6: Final answer
    x = 2,600,186.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.