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Finding the Third Proportional to 568,566 and 1,237,354

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Solution

The third proportional to 568,566 and 1,237,354 is: 2,692,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,566 : 1,237,354 = 1,237,354 : x
  2. Step 2: Convert to fraction form
    568,566/1,237,354 = 1,237,354/x
  3. Step 3: Cross multiply
    568,566x = 1,237,354 × 1,237,354
  4. Step 4: Simplify right side
    568,566x = 1,531,044,921,316
  5. Step 5: Solve for x
    x = 1,531,044,921,316/568,566
  6. Step 6: Final answer
    x = 2,692,818.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.