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Finding the Third Proportional to 1,776,643 and 2,861,186

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Solution

The third proportional to 1,776,643 and 2,861,186 is: 4,607,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776,643 : 2,861,186 = 2,861,186 : x
  2. Step 2: Convert to fraction form
    1,776,643/2,861,186 = 2,861,186/x
  3. Step 3: Cross multiply
    1,776,643x = 2,861,186 × 2,861,186
  4. Step 4: Simplify right side
    1,776,643x = 8,186,385,326,596
  5. Step 5: Solve for x
    x = 8,186,385,326,596/1,776,643
  6. Step 6: Final answer
    x = 4,607,782.95

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.