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Finding the Third Proportional to 865,429.31 and 1,270,054.69

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Solution

The third proportional to 865,429.31 and 1,270,054.69 is: 1,863,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,429.31 : 1,270,054.69 = 1,270,054.69 : x
  2. Step 2: Convert to fraction form
    865,429.31/1,270,054.69 = 1,270,054.69/x
  3. Step 3: Cross multiply
    865,429.31x = 1,270,054.69 × 1,270,054.69
  4. Step 4: Simplify right side
    865,429.31x = 1,613,038,909,240.72
  5. Step 5: Solve for x
    x = 1,613,038,909,240.72/865,429.31
  6. Step 6: Final answer
    x = 1,863,859.80

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