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Finding the Third Proportional to 1,672,143.75 and 3,664,683

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Solution

The third proportional to 1,672,143.75 and 3,664,683 is: 8,031,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672,143.75 : 3,664,683 = 3,664,683 : x
  2. Step 2: Convert to fraction form
    1,672,143.75/3,664,683 = 3,664,683/x
  3. Step 3: Cross multiply
    1,672,143.75x = 3,664,683 × 3,664,683
  4. Step 4: Simplify right side
    1,672,143.75x = 13,429,901,490,489
  5. Step 5: Solve for x
    x = 13,429,901,490,489/1,672,143.75
  6. Step 6: Final answer
    x = 8,031,547.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.