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Finding the Third Proportional to 762,112.69 and 1,114,557.19

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Solution

The third proportional to 762,112.69 and 1,114,557.19 is: 1,629,992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,112.69 : 1,114,557.19 = 1,114,557.19 : x
  2. Step 2: Convert to fraction form
    762,112.69/1,114,557.19 = 1,114,557.19/x
  3. Step 3: Cross multiply
    762,112.69x = 1,114,557.19 × 1,114,557.19
  4. Step 4: Simplify right side
    762,112.69x = 1,242,237,724,207.91
  5. Step 5: Solve for x
    x = 1,242,237,724,207.91/762,112.69
  6. Step 6: Final answer
    x = 1,629,992.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.