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Finding the Third Proportional to 454,335.19 and 983,890.69

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Solution

The third proportional to 454,335.19 and 983,890.69 is: 2,130,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,335.19 : 983,890.69 = 983,890.69 : x
  2. Step 2: Convert to fraction form
    454,335.19/983,890.69 = 983,890.69/x
  3. Step 3: Cross multiply
    454,335.19x = 983,890.69 × 983,890.69
  4. Step 4: Simplify right side
    454,335.19x = 968,040,884,949.22
  5. Step 5: Solve for x
    x = 968,040,884,949.22/454,335.19
  6. Step 6: Final answer
    x = 2,130,675.57

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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.