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Finding the Third Proportional to 798,087.94 and 1,205,416.69

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Solution

The third proportional to 798,087.94 and 1,205,416.69 is: 1,820,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,087.94 : 1,205,416.69 = 1,205,416.69 : x
  2. Step 2: Convert to fraction form
    798,087.94/1,205,416.69 = 1,205,416.69/x
  3. Step 3: Cross multiply
    798,087.94x = 1,205,416.69 × 1,205,416.69
  4. Step 4: Simplify right side
    798,087.94x = 1,453,029,390,503.47
  5. Step 5: Solve for x
    x = 1,453,029,390,503.47/798,087.94
  6. Step 6: Final answer
    x = 1,820,638.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.