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Finding the Third Proportional to 849,116 and 1,153,794

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Solution

The third proportional to 849,116 and 1,153,794 is: 1,567,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,116 : 1,153,794 = 1,153,794 : x
  2. Step 2: Convert to fraction form
    849,116/1,153,794 = 1,153,794/x
  3. Step 3: Cross multiply
    849,116x = 1,153,794 × 1,153,794
  4. Step 4: Simplify right side
    849,116x = 1,331,240,594,436
  5. Step 5: Solve for x
    x = 1,331,240,594,436/849,116
  6. Step 6: Final answer
    x = 1,567,795.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.