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Finding the Third Proportional to 823,044 and 1,803,656

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Solution

The third proportional to 823,044 and 1,803,656 is: 3,952,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,044 : 1,803,656 = 1,803,656 : x
  2. Step 2: Convert to fraction form
    823,044/1,803,656 = 1,803,656/x
  3. Step 3: Cross multiply
    823,044x = 1,803,656 × 1,803,656
  4. Step 4: Simplify right side
    823,044x = 3,253,174,966,336
  5. Step 5: Solve for x
    x = 3,253,174,966,336/823,044
  6. Step 6: Final answer
    x = 3,952,613.67

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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.