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Finding the Third Proportional to 869,345.16 and 1,867,237.31

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Solution

The third proportional to 869,345.16 and 1,867,237.31 is: 4,010,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,345.16 : 1,867,237.31 = 1,867,237.31 : x
  2. Step 2: Convert to fraction form
    869,345.16/1,867,237.31 = 1,867,237.31/x
  3. Step 3: Cross multiply
    869,345.16x = 1,867,237.31 × 1,867,237.31
  4. Step 4: Simplify right side
    869,345.16x = 3,486,575,181,192.22
  5. Step 5: Solve for x
    x = 3,486,575,181,192.22/869,345.16
  6. Step 6: Final answer
    x = 4,010,576.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.