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Finding the Third Proportional to 865,165.13 and 1,893,235.13

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Solution

The third proportional to 865,165.13 and 1,893,235.13 is: 4,142,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,165.13 : 1,893,235.13 = 1,893,235.13 : x
  2. Step 2: Convert to fraction form
    865,165.13/1,893,235.13 = 1,893,235.13/x
  3. Step 3: Cross multiply
    865,165.13x = 1,893,235.13 × 1,893,235.13
  4. Step 4: Simplify right side
    865,165.13x = 3,584,339,238,533.77
  5. Step 5: Solve for x
    x = 3,584,339,238,533.77/865,165.13
  6. Step 6: Final answer
    x = 4,142,953.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.