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Finding the Third Proportional to 610,632 and 1,322,910

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Solution

The third proportional to 610,632 and 1,322,910 is: 2,866,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,632 : 1,322,910 = 1,322,910 : x
  2. Step 2: Convert to fraction form
    610,632/1,322,910 = 1,322,910/x
  3. Step 3: Cross multiply
    610,632x = 1,322,910 × 1,322,910
  4. Step 4: Simplify right side
    610,632x = 1,750,090,868,100
  5. Step 5: Solve for x
    x = 1,750,090,868,100/610,632
  6. Step 6: Final answer
    x = 2,866,032.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.