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Finding the Third Proportional to 804,558 and 1,762,754

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Solution

The third proportional to 804,558 and 1,762,754 is: 3,862,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,558 : 1,762,754 = 1,762,754 : x
  2. Step 2: Convert to fraction form
    804,558/1,762,754 = 1,762,754/x
  3. Step 3: Cross multiply
    804,558x = 1,762,754 × 1,762,754
  4. Step 4: Simplify right side
    804,558x = 3,107,301,664,516
  5. Step 5: Solve for x
    x = 3,107,301,664,516/804,558
  6. Step 6: Final answer
    x = 3,862,122.64

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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.