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Finding the Third Proportional to 610,788 and 1,330,009

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Solution

The third proportional to 610,788 and 1,330,009 is: 2,896,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,788 : 1,330,009 = 1,330,009 : x
  2. Step 2: Convert to fraction form
    610,788/1,330,009 = 1,330,009/x
  3. Step 3: Cross multiply
    610,788x = 1,330,009 × 1,330,009
  4. Step 4: Simplify right side
    610,788x = 1,768,923,940,081
  5. Step 5: Solve for x
    x = 1,768,923,940,081/610,788
  6. Step 6: Final answer
    x = 2,896,134.08

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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.