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Finding the Third Proportional to 2,096,596 and 3,141,618

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Solution

The third proportional to 2,096,596 and 3,141,618 is: 4,707,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,596 : 3,141,618 = 3,141,618 : x
  2. Step 2: Convert to fraction form
    2,096,596/3,141,618 = 3,141,618/x
  3. Step 3: Cross multiply
    2,096,596x = 3,141,618 × 3,141,618
  4. Step 4: Simplify right side
    2,096,596x = 9,869,763,657,924
  5. Step 5: Solve for x
    x = 9,869,763,657,924/2,096,596
  6. Step 6: Final answer
    x = 4,707,518.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.