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Finding the Third Proportional to 1,496,133 and 3,098,686

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Solution

The third proportional to 1,496,133 and 3,098,686 is: 6,417,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,133 : 3,098,686 = 3,098,686 : x
  2. Step 2: Convert to fraction form
    1,496,133/3,098,686 = 3,098,686/x
  3. Step 3: Cross multiply
    1,496,133x = 3,098,686 × 3,098,686
  4. Step 4: Simplify right side
    1,496,133x = 9,601,854,926,596
  5. Step 5: Solve for x
    x = 9,601,854,926,596/1,496,133
  6. Step 6: Final answer
    x = 6,417,781.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.