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Finding the Third Proportional to 2,706,657 and 5,637,240

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Solution

The third proportional to 2,706,657 and 5,637,240 is: 11,740,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706,657 : 5,637,240 = 5,637,240 : x
  2. Step 2: Convert to fraction form
    2,706,657/5,637,240 = 5,637,240/x
  3. Step 3: Cross multiply
    2,706,657x = 5,637,240 × 5,637,240
  4. Step 4: Simplify right side
    2,706,657x = 31,778,474,817,600
  5. Step 5: Solve for x
    x = 31,778,474,817,600/2,706,657
  6. Step 6: Final answer
    x = 11,740,857.75

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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.