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Finding the Third Proportional to 404,989 and 937,556

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Solution

The third proportional to 404,989 and 937,556 is: 2,170,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,989 : 937,556 = 937,556 : x
  2. Step 2: Convert to fraction form
    404,989/937,556 = 937,556/x
  3. Step 3: Cross multiply
    404,989x = 937,556 × 937,556
  4. Step 4: Simplify right side
    404,989x = 879,011,253,136
  5. Step 5: Solve for x
    x = 879,011,253,136/404,989
  6. Step 6: Final answer
    x = 2,170,457.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.