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Finding the Third Proportional to 804,834 and 1,705,612

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Solution

The third proportional to 804,834 and 1,705,612 is: 3,614,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,834 : 1,705,612 = 1,705,612 : x
  2. Step 2: Convert to fraction form
    804,834/1,705,612 = 1,705,612/x
  3. Step 3: Cross multiply
    804,834x = 1,705,612 × 1,705,612
  4. Step 4: Simplify right side
    804,834x = 2,909,112,294,544
  5. Step 5: Solve for x
    x = 2,909,112,294,544/804,834
  6. Step 6: Final answer
    x = 3,614,549.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.