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Finding the Third Proportional to 733,896 and 1,616,776

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Solution

The third proportional to 733,896 and 1,616,776 is: 3,561,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,896 : 1,616,776 = 1,616,776 : x
  2. Step 2: Convert to fraction form
    733,896/1,616,776 = 1,616,776/x
  3. Step 3: Cross multiply
    733,896x = 1,616,776 × 1,616,776
  4. Step 4: Simplify right side
    733,896x = 2,613,964,634,176
  5. Step 5: Solve for x
    x = 2,613,964,634,176/733,896
  6. Step 6: Final answer
    x = 3,561,764.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.