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Finding the Third Proportional to 804,542 and 1,675,828

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Solution

The third proportional to 804,542 and 1,675,828 is: 3,490,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,542 : 1,675,828 = 1,675,828 : x
  2. Step 2: Convert to fraction form
    804,542/1,675,828 = 1,675,828/x
  3. Step 3: Cross multiply
    804,542x = 1,675,828 × 1,675,828
  4. Step 4: Simplify right side
    804,542x = 2,808,399,485,584
  5. Step 5: Solve for x
    x = 2,808,399,485,584/804,542
  6. Step 6: Final answer
    x = 3,490,681.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.