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Finding the Third Proportional to 776,069 and 1,159,324

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Solution

The third proportional to 776,069 and 1,159,324 is: 1,731,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,069 : 1,159,324 = 1,159,324 : x
  2. Step 2: Convert to fraction form
    776,069/1,159,324 = 1,159,324/x
  3. Step 3: Cross multiply
    776,069x = 1,159,324 × 1,159,324
  4. Step 4: Simplify right side
    776,069x = 1,344,032,136,976
  5. Step 5: Solve for x
    x = 1,344,032,136,976/776,069
  6. Step 6: Final answer
    x = 1,731,846.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.