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Finding the Third Proportional to 1,069,344.94 and 2,227,143.56

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Solution

The third proportional to 1,069,344.94 and 2,227,143.56 is: 4,638,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,344.94 : 2,227,143.56 = 2,227,143.56 : x
  2. Step 2: Convert to fraction form
    1,069,344.94/2,227,143.56 = 2,227,143.56/x
  3. Step 3: Cross multiply
    1,069,344.94x = 2,227,143.56 × 2,227,143.56
  4. Step 4: Simplify right side
    1,069,344.94x = 4,960,168,447,985.19
  5. Step 5: Solve for x
    x = 4,960,168,447,985.19/1,069,344.94
  6. Step 6: Final answer
    x = 4,638,511.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.