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Finding the Third Proportional to 804,548 and 1,762,733

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Solution

The third proportional to 804,548 and 1,762,733 is: 3,862,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,548 : 1,762,733 = 1,762,733 : x
  2. Step 2: Convert to fraction form
    804,548/1,762,733 = 1,762,733/x
  3. Step 3: Cross multiply
    804,548x = 1,762,733 × 1,762,733
  4. Step 4: Simplify right side
    804,548x = 3,107,227,629,289
  5. Step 5: Solve for x
    x = 3,107,227,629,289/804,548
  6. Step 6: Final answer
    x = 3,862,078.62

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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.