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Finding the Third Proportional to 849,118 and 1,153,796

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Solution

The third proportional to 849,118 and 1,153,796 is: 1,567,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,118 : 1,153,796 = 1,153,796 : x
  2. Step 2: Convert to fraction form
    849,118/1,153,796 = 1,153,796/x
  3. Step 3: Cross multiply
    849,118x = 1,153,796 × 1,153,796
  4. Step 4: Simplify right side
    849,118x = 1,331,245,209,616
  5. Step 5: Solve for x
    x = 1,331,245,209,616/849,118
  6. Step 6: Final answer
    x = 1,567,797.66

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Why These Related Problems?

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