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Finding the Third Proportional to 3,237,697 and 4,751,569.50

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Solution

The third proportional to 3,237,697 and 4,751,569.50 is: 6,973,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237,697 : 4,751,569.50 = 4,751,569.50 : x
  2. Step 2: Convert to fraction form
    3,237,697/4,751,569.50 = 4,751,569.50/x
  3. Step 3: Cross multiply
    3,237,697x = 4,751,569.50 × 4,751,569.50
  4. Step 4: Simplify right side
    3,237,697x = 22,577,412,713,330.25
  5. Step 5: Solve for x
    x = 22,577,412,713,330.25/3,237,697
  6. Step 6: Final answer
    x = 6,973,293.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.