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Finding the Third Proportional to 670,807 and 997,083

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Solution

The third proportional to 670,807 and 997,083 is: 1,482,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,807 : 997,083 = 997,083 : x
  2. Step 2: Convert to fraction form
    670,807/997,083 = 997,083/x
  3. Step 3: Cross multiply
    670,807x = 997,083 × 997,083
  4. Step 4: Simplify right side
    670,807x = 994,174,508,889
  5. Step 5: Solve for x
    x = 994,174,508,889/670,807
  6. Step 6: Final answer
    x = 1,482,057.45

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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.