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Finding the Third Proportional to 571,964 and 1,219,924

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Solution

The third proportional to 571,964 and 1,219,924 is: 2,601,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,964 : 1,219,924 = 1,219,924 : x
  2. Step 2: Convert to fraction form
    571,964/1,219,924 = 1,219,924/x
  3. Step 3: Cross multiply
    571,964x = 1,219,924 × 1,219,924
  4. Step 4: Simplify right side
    571,964x = 1,488,214,565,776
  5. Step 5: Solve for x
    x = 1,488,214,565,776/571,964
  6. Step 6: Final answer
    x = 2,601,937.47

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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.