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Finding the Third Proportional to 1,713,636.56 and 3,695,069.53

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Solution

The third proportional to 1,713,636.56 and 3,695,069.53 is: 7,967,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713,636.56 : 3,695,069.53 = 3,695,069.53 : x
  2. Step 2: Convert to fraction form
    1,713,636.56/3,695,069.53 = 3,695,069.53/x
  3. Step 3: Cross multiply
    1,713,636.56x = 3,695,069.53 × 3,695,069.53
  4. Step 4: Simplify right side
    1,713,636.56x = 13,653,538,840,772.09
  5. Step 5: Solve for x
    x = 13,653,538,840,772.09/1,713,636.56
  6. Step 6: Final answer
    x = 7,967,581.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.