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Finding the Third Proportional to 1,172,999 and 1,813,365.13

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Solution

The third proportional to 1,172,999 and 1,813,365.13 is: 2,803,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,999 : 1,813,365.13 = 1,813,365.13 : x
  2. Step 2: Convert to fraction form
    1,172,999/1,813,365.13 = 1,813,365.13/x
  3. Step 3: Cross multiply
    1,172,999x = 1,813,365.13 × 1,813,365.13
  4. Step 4: Simplify right side
    1,172,999x = 3,288,293,076,566.27
  5. Step 5: Solve for x
    x = 3,288,293,076,566.27/1,172,999
  6. Step 6: Final answer
    x = 2,803,321.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.