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Finding the Third Proportional to 670,680 and 1,046,844

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Solution

The third proportional to 670,680 and 1,046,844 is: 1,633,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,680 : 1,046,844 = 1,046,844 : x
  2. Step 2: Convert to fraction form
    670,680/1,046,844 = 1,046,844/x
  3. Step 3: Cross multiply
    670,680x = 1,046,844 × 1,046,844
  4. Step 4: Simplify right side
    670,680x = 1,095,882,360,336
  5. Step 5: Solve for x
    x = 1,095,882,360,336/670,680
  6. Step 6: Final answer
    x = 1,633,986.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.