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Finding the Third Proportional to 571,511 and 1,229,044

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Solution

The third proportional to 571,511 and 1,229,044 is: 2,643,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,511 : 1,229,044 = 1,229,044 : x
  2. Step 2: Convert to fraction form
    571,511/1,229,044 = 1,229,044/x
  3. Step 3: Cross multiply
    571,511x = 1,229,044 × 1,229,044
  4. Step 4: Simplify right side
    571,511x = 1,510,549,153,936
  5. Step 5: Solve for x
    x = 1,510,549,153,936/571,511
  6. Step 6: Final answer
    x = 2,643,079.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.