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Finding the Third Proportional to 698,885 and 1,104,643

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Solution

The third proportional to 698,885 and 1,104,643 is: 1,745,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,885 : 1,104,643 = 1,104,643 : x
  2. Step 2: Convert to fraction form
    698,885/1,104,643 = 1,104,643/x
  3. Step 3: Cross multiply
    698,885x = 1,104,643 × 1,104,643
  4. Step 4: Simplify right side
    698,885x = 1,220,236,157,449
  5. Step 5: Solve for x
    x = 1,220,236,157,449/698,885
  6. Step 6: Final answer
    x = 1,745,975.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.