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Finding the Third Proportional to 610,796 and 1,330,015

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Solution

The third proportional to 610,796 and 1,330,015 is: 2,896,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,796 : 1,330,015 = 1,330,015 : x
  2. Step 2: Convert to fraction form
    610,796/1,330,015 = 1,330,015/x
  3. Step 3: Cross multiply
    610,796x = 1,330,015 × 1,330,015
  4. Step 4: Simplify right side
    610,796x = 1,768,939,900,225
  5. Step 5: Solve for x
    x = 1,768,939,900,225/610,796
  6. Step 6: Final answer
    x = 2,896,122.27

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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.