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Finding the Third Proportional to 2,710,926 and 5,646,582

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Solution

The third proportional to 2,710,926 and 5,646,582 is: 11,761,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710,926 : 5,646,582 = 5,646,582 : x
  2. Step 2: Convert to fraction form
    2,710,926/5,646,582 = 5,646,582/x
  3. Step 3: Cross multiply
    2,710,926x = 5,646,582 × 5,646,582
  4. Step 4: Simplify right side
    2,710,926x = 31,883,888,282,724
  5. Step 5: Solve for x
    x = 31,883,888,282,724/2,710,926
  6. Step 6: Final answer
    x = 11,761,253.64

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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.