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Finding the Third Proportional to 414,284.63 and 907,615.13

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Solution

The third proportional to 414,284.63 and 907,615.13 is: 1,988,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,284.63 : 907,615.13 = 907,615.13 : x
  2. Step 2: Convert to fraction form
    414,284.63/907,615.13 = 907,615.13/x
  3. Step 3: Cross multiply
    414,284.63x = 907,615.13 × 907,615.13
  4. Step 4: Simplify right side
    414,284.63x = 823,765,215,128.77
  5. Step 5: Solve for x
    x = 823,765,215,128.77/414,284.63
  6. Step 6: Final answer
    x = 1,988,404.02

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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.