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Finding the Third Proportional to 670,701 and 1,014,723

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Solution

The third proportional to 670,701 and 1,014,723 is: 1,535,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,701 : 1,014,723 = 1,014,723 : x
  2. Step 2: Convert to fraction form
    670,701/1,014,723 = 1,014,723/x
  3. Step 3: Cross multiply
    670,701x = 1,014,723 × 1,014,723
  4. Step 4: Simplify right side
    670,701x = 1,029,662,766,729
  5. Step 5: Solve for x
    x = 1,029,662,766,729/670,701
  6. Step 6: Final answer
    x = 1,535,203.86

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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.