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Finding the Third Proportional to 1,699,435.69 and 3,697,693.03

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Solution

The third proportional to 1,699,435.69 and 3,697,693.03 is: 8,045,572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699,435.69 : 3,697,693.03 = 3,697,693.03 : x
  2. Step 2: Convert to fraction form
    1,699,435.69/3,697,693.03 = 3,697,693.03/x
  3. Step 3: Cross multiply
    1,699,435.69x = 3,697,693.03 × 3,697,693.03
  4. Step 4: Simplify right side
    1,699,435.69x = 13,672,933,753,354.81
  5. Step 5: Solve for x
    x = 13,672,933,753,354.81/1,699,435.69
  6. Step 6: Final answer
    x = 8,045,572.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.