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Finding the Third Proportional to 842,818.50 and 1,820,307.94

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Solution

The third proportional to 842,818.50 and 1,820,307.94 is: 3,931,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,818.50 : 1,820,307.94 = 1,820,307.94 : x
  2. Step 2: Convert to fraction form
    842,818.50/1,820,307.94 = 1,820,307.94/x
  3. Step 3: Cross multiply
    842,818.50x = 1,820,307.94 × 1,820,307.94
  4. Step 4: Simplify right side
    842,818.50x = 3,313,520,987,325.50
  5. Step 5: Solve for x
    x = 3,313,520,987,325.50/842,818.50
  6. Step 6: Final answer
    x = 3,931,476.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.