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Finding the Third Proportional to 865,113 and 1,893,071

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Solution

The third proportional to 865,113 and 1,893,071 is: 4,142,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,113 : 1,893,071 = 1,893,071 : x
  2. Step 2: Convert to fraction form
    865,113/1,893,071 = 1,893,071/x
  3. Step 3: Cross multiply
    865,113x = 1,893,071 × 1,893,071
  4. Step 4: Simplify right side
    865,113x = 3,583,717,811,041
  5. Step 5: Solve for x
    x = 3,583,717,811,041/865,113
  6. Step 6: Final answer
    x = 4,142,485.21

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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.