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Finding the Third Proportional to 621,217.50 and 1,330,971

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Solution

The third proportional to 621,217.50 and 1,330,971 is: 2,851,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,217.50 : 1,330,971 = 1,330,971 : x
  2. Step 2: Convert to fraction form
    621,217.50/1,330,971 = 1,330,971/x
  3. Step 3: Cross multiply
    621,217.50x = 1,330,971 × 1,330,971
  4. Step 4: Simplify right side
    621,217.50x = 1,771,483,802,841
  5. Step 5: Solve for x
    x = 1,771,483,802,841/621,217.50
  6. Step 6: Final answer
    x = 2,851,632.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.