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Finding the Third Proportional to 675,798 and 1,011,684

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Solution

The third proportional to 675,798 and 1,011,684 is: 1,514,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,798 : 1,011,684 = 1,011,684 : x
  2. Step 2: Convert to fraction form
    675,798/1,011,684 = 1,011,684/x
  3. Step 3: Cross multiply
    675,798x = 1,011,684 × 1,011,684
  4. Step 4: Simplify right side
    675,798x = 1,023,504,515,856
  5. Step 5: Solve for x
    x = 1,023,504,515,856/675,798
  6. Step 6: Final answer
    x = 1,514,512.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.