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Finding the Third Proportional to 772,447 and 1,131,018

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Solution

The third proportional to 772,447 and 1,131,018 is: 1,656,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,447 : 1,131,018 = 1,131,018 : x
  2. Step 2: Convert to fraction form
    772,447/1,131,018 = 1,131,018/x
  3. Step 3: Cross multiply
    772,447x = 1,131,018 × 1,131,018
  4. Step 4: Simplify right side
    772,447x = 1,279,201,716,324
  5. Step 5: Solve for x
    x = 1,279,201,716,324/772,447
  6. Step 6: Final answer
    x = 1,656,038.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.