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Finding the Third Proportional to 772,976 and 1,136,347

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Solution

The third proportional to 772,976 and 1,136,347 is: 1,670,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,976 : 1,136,347 = 1,136,347 : x
  2. Step 2: Convert to fraction form
    772,976/1,136,347 = 1,136,347/x
  3. Step 3: Cross multiply
    772,976x = 1,136,347 × 1,136,347
  4. Step 4: Simplify right side
    772,976x = 1,291,284,504,409
  5. Step 5: Solve for x
    x = 1,291,284,504,409/772,976
  6. Step 6: Final answer
    x = 1,670,536.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.