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Finding the Third Proportional to 557,817 and 1,148,652

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Solution

The third proportional to 557,817 and 1,148,652 is: 2,365,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,817 : 1,148,652 = 1,148,652 : x
  2. Step 2: Convert to fraction form
    557,817/1,148,652 = 1,148,652/x
  3. Step 3: Cross multiply
    557,817x = 1,148,652 × 1,148,652
  4. Step 4: Simplify right side
    557,817x = 1,319,401,417,104
  5. Step 5: Solve for x
    x = 1,319,401,417,104/557,817
  6. Step 6: Final answer
    x = 2,365,294.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.