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Finding the Third Proportional to 568,942 and 1,210,291

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Solution

The third proportional to 568,942 and 1,210,291 is: 2,574,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,942 : 1,210,291 = 1,210,291 : x
  2. Step 2: Convert to fraction form
    568,942/1,210,291 = 1,210,291/x
  3. Step 3: Cross multiply
    568,942x = 1,210,291 × 1,210,291
  4. Step 4: Simplify right side
    568,942x = 1,464,804,304,681
  5. Step 5: Solve for x
    x = 1,464,804,304,681/568,942
  6. Step 6: Final answer
    x = 2,574,610.95

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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.