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Finding the Third Proportional to 700,980 and 1,531,686

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Solution

The third proportional to 700,980 and 1,531,686 is: 3,346,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,980 : 1,531,686 = 1,531,686 : x
  2. Step 2: Convert to fraction form
    700,980/1,531,686 = 1,531,686/x
  3. Step 3: Cross multiply
    700,980x = 1,531,686 × 1,531,686
  4. Step 4: Simplify right side
    700,980x = 2,346,062,002,596
  5. Step 5: Solve for x
    x = 2,346,062,002,596/700,980
  6. Step 6: Final answer
    x = 3,346,831.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.