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Finding the Third Proportional to 569,795 and 1,215,862

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Solution

The third proportional to 569,795 and 1,215,862 is: 2,594,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,795 : 1,215,862 = 1,215,862 : x
  2. Step 2: Convert to fraction form
    569,795/1,215,862 = 1,215,862/x
  3. Step 3: Cross multiply
    569,795x = 1,215,862 × 1,215,862
  4. Step 4: Simplify right side
    569,795x = 1,478,320,403,044
  5. Step 5: Solve for x
    x = 1,478,320,403,044/569,795
  6. Step 6: Final answer
    x = 2,594,477.67

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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.