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Finding the Third Proportional to 698,668 and 1,054,641

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Solution

The third proportional to 698,668 and 1,054,641 is: 1,591,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,668 : 1,054,641 = 1,054,641 : x
  2. Step 2: Convert to fraction form
    698,668/1,054,641 = 1,054,641/x
  3. Step 3: Cross multiply
    698,668x = 1,054,641 × 1,054,641
  4. Step 4: Simplify right side
    698,668x = 1,112,267,638,881
  5. Step 5: Solve for x
    x = 1,112,267,638,881/698,668
  6. Step 6: Final answer
    x = 1,591,983.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.