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Finding the Third Proportional to 2,710,710 and 5,893,596

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Solution

The third proportional to 2,710,710 and 5,893,596 is: 12,813,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710,710 : 5,893,596 = 5,893,596 : x
  2. Step 2: Convert to fraction form
    2,710,710/5,893,596 = 5,893,596/x
  3. Step 3: Cross multiply
    2,710,710x = 5,893,596 × 5,893,596
  4. Step 4: Simplify right side
    2,710,710x = 34,734,473,811,216
  5. Step 5: Solve for x
    x = 34,734,473,811,216/2,710,710
  6. Step 6: Final answer
    x = 12,813,791.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.