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Finding the Third Proportional to 670,308 and 1,581,006

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Solution

The third proportional to 670,308 and 1,581,006 is: 3,729,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,308 : 1,581,006 = 1,581,006 : x
  2. Step 2: Convert to fraction form
    670,308/1,581,006 = 1,581,006/x
  3. Step 3: Cross multiply
    670,308x = 1,581,006 × 1,581,006
  4. Step 4: Simplify right side
    670,308x = 2,499,579,972,036
  5. Step 5: Solve for x
    x = 2,499,579,972,036/670,308
  6. Step 6: Final answer
    x = 3,729,002.15

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.