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Finding the Third Proportional to 575,658 and 919,647

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Solution

The third proportional to 575,658 and 919,647 is: 1,469,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,658 : 919,647 = 919,647 : x
  2. Step 2: Convert to fraction form
    575,658/919,647 = 919,647/x
  3. Step 3: Cross multiply
    575,658x = 919,647 × 919,647
  4. Step 4: Simplify right side
    575,658x = 845,750,604,609
  5. Step 5: Solve for x
    x = 845,750,604,609/575,658
  6. Step 6: Final answer
    x = 1,469,189.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.