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Finding the Third Proportional to 661,916 and 1,428,810

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Solution

The third proportional to 661,916 and 1,428,810 is: 3,084,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,916 : 1,428,810 = 1,428,810 : x
  2. Step 2: Convert to fraction form
    661,916/1,428,810 = 1,428,810/x
  3. Step 3: Cross multiply
    661,916x = 1,428,810 × 1,428,810
  4. Step 4: Simplify right side
    661,916x = 2,041,498,016,100
  5. Step 5: Solve for x
    x = 2,041,498,016,100/661,916
  6. Step 6: Final answer
    x = 3,084,225.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.