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Finding the Third Proportional to 858,259.13 and 1,261,114.31

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Solution

The third proportional to 858,259.13 and 1,261,114.31 is: 1,853,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,259.13 : 1,261,114.31 = 1,261,114.31 : x
  2. Step 2: Convert to fraction form
    858,259.13/1,261,114.31 = 1,261,114.31/x
  3. Step 3: Cross multiply
    858,259.13x = 1,261,114.31 × 1,261,114.31
  4. Step 4: Simplify right side
    858,259.13x = 1,590,409,309,192.35
  5. Step 5: Solve for x
    x = 1,590,409,309,192.35/858,259.13
  6. Step 6: Final answer
    x = 1,853,064.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.