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Finding the Third Proportional to 569,785 and 1,215,833

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Solution

The third proportional to 569,785 and 1,215,833 is: 2,594,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,785 : 1,215,833 = 1,215,833 : x
  2. Step 2: Convert to fraction form
    569,785/1,215,833 = 1,215,833/x
  3. Step 3: Cross multiply
    569,785x = 1,215,833 × 1,215,833
  4. Step 4: Simplify right side
    569,785x = 1,478,249,883,889
  5. Step 5: Solve for x
    x = 1,478,249,883,889/569,785
  6. Step 6: Final answer
    x = 2,594,399.44

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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.