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Finding the Third Proportional to 670,803 and 997,077

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Solution

The third proportional to 670,803 and 997,077 is: 1,482,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,803 : 997,077 = 997,077 : x
  2. Step 2: Convert to fraction form
    670,803/997,077 = 997,077/x
  3. Step 3: Cross multiply
    670,803x = 997,077 × 997,077
  4. Step 4: Simplify right side
    670,803x = 994,162,543,929
  5. Step 5: Solve for x
    x = 994,162,543,929/670,803
  6. Step 6: Final answer
    x = 1,482,048.45

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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.