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Finding the Third Proportional to 670,824 and 997,104

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Solution

The third proportional to 670,824 and 997,104 is: 1,482,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,824 : 997,104 = 997,104 : x
  2. Step 2: Convert to fraction form
    670,824/997,104 = 997,104/x
  3. Step 3: Cross multiply
    670,824x = 997,104 × 997,104
  4. Step 4: Simplify right side
    670,824x = 994,216,386,816
  5. Step 5: Solve for x
    x = 994,216,386,816/670,824
  6. Step 6: Final answer
    x = 1,482,082.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.