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Finding the Third Proportional to 787,411.13 and 1,658,854.69

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Solution

The third proportional to 787,411.13 and 1,658,854.69 is: 3,494,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,411.13 : 1,658,854.69 = 1,658,854.69 : x
  2. Step 2: Convert to fraction form
    787,411.13/1,658,854.69 = 1,658,854.69/x
  3. Step 3: Cross multiply
    787,411.13x = 1,658,854.69 × 1,658,854.69
  4. Step 4: Simplify right side
    787,411.13x = 2,751,798,874,240.72
  5. Step 5: Solve for x
    x = 2,751,798,874,240.72/787,411.13
  6. Step 6: Final answer
    x = 3,494,742.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.