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Finding the Third Proportional to 1,820,781 and 3,695,384.25

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Solution

The third proportional to 1,820,781 and 3,695,384.25 is: 7,500,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820,781 : 3,695,384.25 = 3,695,384.25 : x
  2. Step 2: Convert to fraction form
    1,820,781/3,695,384.25 = 3,695,384.25/x
  3. Step 3: Cross multiply
    1,820,781x = 3,695,384.25 × 3,695,384.25
  4. Step 4: Simplify right side
    1,820,781x = 13,655,864,755,148.06
  5. Step 5: Solve for x
    x = 13,655,864,755,148.06/1,820,781
  6. Step 6: Final answer
    x = 7,500,003.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.