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Finding the Third Proportional to 820,044 and 1,798,011

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Solution

The third proportional to 820,044 and 1,798,011 is: 3,942,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,044 : 1,798,011 = 1,798,011 : x
  2. Step 2: Convert to fraction form
    820,044/1,798,011 = 1,798,011/x
  3. Step 3: Cross multiply
    820,044x = 1,798,011 × 1,798,011
  4. Step 4: Simplify right side
    820,044x = 3,232,843,556,121
  5. Step 5: Solve for x
    x = 3,232,843,556,121/820,044
  6. Step 6: Final answer
    x = 3,942,280.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.