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Finding the Third Proportional to 670,107 and 1,036,266

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Solution

The third proportional to 670,107 and 1,036,266 is: 1,602,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,107 : 1,036,266 = 1,036,266 : x
  2. Step 2: Convert to fraction form
    670,107/1,036,266 = 1,036,266/x
  3. Step 3: Cross multiply
    670,107x = 1,036,266 × 1,036,266
  4. Step 4: Simplify right side
    670,107x = 1,073,847,222,756
  5. Step 5: Solve for x
    x = 1,073,847,222,756/670,107
  6. Step 6: Final answer
    x = 1,602,501.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.