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Finding the Third Proportional to 1,265,618 and 1,960,213

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Solution

The third proportional to 1,265,618 and 1,960,213 is: 3,036,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,618 : 1,960,213 = 1,960,213 : x
  2. Step 2: Convert to fraction form
    1,265,618/1,960,213 = 1,960,213/x
  3. Step 3: Cross multiply
    1,265,618x = 1,960,213 × 1,960,213
  4. Step 4: Simplify right side
    1,265,618x = 3,842,435,005,369
  5. Step 5: Solve for x
    x = 3,842,435,005,369/1,265,618
  6. Step 6: Final answer
    x = 3,036,014.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.