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Finding the Third Proportional to 784,836 and 1,215,006

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Solution

The third proportional to 784,836 and 1,215,006 is: 1,880,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,836 : 1,215,006 = 1,215,006 : x
  2. Step 2: Convert to fraction form
    784,836/1,215,006 = 1,215,006/x
  3. Step 3: Cross multiply
    784,836x = 1,215,006 × 1,215,006
  4. Step 4: Simplify right side
    784,836x = 1,476,239,580,036
  5. Step 5: Solve for x
    x = 1,476,239,580,036/784,836
  6. Step 6: Final answer
    x = 1,880,952.94

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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.