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Finding the Third Proportional to 804,561 and 1,762,739

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Solution

The third proportional to 804,561 and 1,762,739 is: 3,862,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,561 : 1,762,739 = 1,762,739 : x
  2. Step 2: Convert to fraction form
    804,561/1,762,739 = 1,762,739/x
  3. Step 3: Cross multiply
    804,561x = 1,762,739 × 1,762,739
  4. Step 4: Simplify right side
    804,561x = 3,107,248,782,121
  5. Step 5: Solve for x
    x = 3,107,248,782,121/804,561
  6. Step 6: Final answer
    x = 3,862,042.51

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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.