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Finding the Third Proportional to 865,347 and 1,893,826.50

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Solution

The third proportional to 865,347 and 1,893,826.50 is: 4,144,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,347 : 1,893,826.50 = 1,893,826.50 : x
  2. Step 2: Convert to fraction form
    865,347/1,893,826.50 = 1,893,826.50/x
  3. Step 3: Cross multiply
    865,347x = 1,893,826.50 × 1,893,826.50
  4. Step 4: Simplify right side
    865,347x = 3,586,578,812,102.25
  5. Step 5: Solve for x
    x = 3,586,578,812,102.25/865,347
  6. Step 6: Final answer
    x = 4,144,671.23

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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.