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Finding the Third Proportional to 465,691 and 1,018,556

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Solution

The third proportional to 465,691 and 1,018,556 is: 2,227,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,691 : 1,018,556 = 1,018,556 : x
  2. Step 2: Convert to fraction form
    465,691/1,018,556 = 1,018,556/x
  3. Step 3: Cross multiply
    465,691x = 1,018,556 × 1,018,556
  4. Step 4: Simplify right side
    465,691x = 1,037,456,325,136
  5. Step 5: Solve for x
    x = 1,037,456,325,136/465,691
  6. Step 6: Final answer
    x = 2,227,778.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.