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Finding the Third Proportional to 619,600 and 917,886

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Solution

The third proportional to 619,600 and 917,886 is: 1,359,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,600 : 917,886 = 917,886 : x
  2. Step 2: Convert to fraction form
    619,600/917,886 = 917,886/x
  3. Step 3: Cross multiply
    619,600x = 917,886 × 917,886
  4. Step 4: Simplify right side
    619,600x = 842,514,708,996
  5. Step 5: Solve for x
    x = 842,514,708,996/619,600
  6. Step 6: Final answer
    x = 1,359,771.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.