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Finding the Third Proportional to 670,724 and 1,014,756

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Solution

The third proportional to 670,724 and 1,014,756 is: 1,535,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,724 : 1,014,756 = 1,014,756 : x
  2. Step 2: Convert to fraction form
    670,724/1,014,756 = 1,014,756/x
  3. Step 3: Cross multiply
    670,724x = 1,014,756 × 1,014,756
  4. Step 4: Simplify right side
    670,724x = 1,029,729,739,536
  5. Step 5: Solve for x
    x = 1,029,729,739,536/670,724
  6. Step 6: Final answer
    x = 1,535,251.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.