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Finding the Third Proportional to 465,637.50 and 1,004,733

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Solution

The third proportional to 465,637.50 and 1,004,733 is: 2,167,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,637.50 : 1,004,733 = 1,004,733 : x
  2. Step 2: Convert to fraction form
    465,637.50/1,004,733 = 1,004,733/x
  3. Step 3: Cross multiply
    465,637.50x = 1,004,733 × 1,004,733
  4. Step 4: Simplify right side
    465,637.50x = 1,009,488,401,289
  5. Step 5: Solve for x
    x = 1,009,488,401,289/465,637.50
  6. Step 6: Final answer
    x = 2,167,970.58

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