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Finding the Third Proportional to 1,996,683.75 and 4,371,189.05

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Solution

The third proportional to 1,996,683.75 and 4,371,189.05 is: 9,569,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,683.75 : 4,371,189.05 = 4,371,189.05 : x
  2. Step 2: Convert to fraction form
    1,996,683.75/4,371,189.05 = 4,371,189.05/x
  3. Step 3: Cross multiply
    1,996,683.75x = 4,371,189.05 × 4,371,189.05
  4. Step 4: Simplify right side
    1,996,683.75x = 19,107,293,683,519.97
  5. Step 5: Solve for x
    x = 19,107,293,683,519.97/1,996,683.75
  6. Step 6: Final answer
    x = 9,569,514.29

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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.