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Finding the Third Proportional to 568,574 and 1,225,717

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Solution

The third proportional to 568,574 and 1,225,717 is: 2,642,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,574 : 1,225,717 = 1,225,717 : x
  2. Step 2: Convert to fraction form
    568,574/1,225,717 = 1,225,717/x
  3. Step 3: Cross multiply
    568,574x = 1,225,717 × 1,225,717
  4. Step 4: Simplify right side
    568,574x = 1,502,382,164,089
  5. Step 5: Solve for x
    x = 1,502,382,164,089/568,574
  6. Step 6: Final answer
    x = 2,642,368.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.