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Finding the Third Proportional to 571,971 and 1,243,539

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Solution

The third proportional to 571,971 and 1,243,539 is: 2,703,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,971 : 1,243,539 = 1,243,539 : x
  2. Step 2: Convert to fraction form
    571,971/1,243,539 = 1,243,539/x
  3. Step 3: Cross multiply
    571,971x = 1,243,539 × 1,243,539
  4. Step 4: Simplify right side
    571,971x = 1,546,389,244,521
  5. Step 5: Solve for x
    x = 1,546,389,244,521/571,971
  6. Step 6: Final answer
    x = 2,703,614.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.