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Finding the Third Proportional to 914,140.69 and 1,968,765.75

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Solution

The third proportional to 914,140.69 and 1,968,765.75 is: 4,240,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,140.69 : 1,968,765.75 = 1,968,765.75 : x
  2. Step 2: Convert to fraction form
    914,140.69/1,968,765.75 = 1,968,765.75/x
  3. Step 3: Cross multiply
    914,140.69x = 1,968,765.75 × 1,968,765.75
  4. Step 4: Simplify right side
    914,140.69x = 3,876,038,578,373.06
  5. Step 5: Solve for x
    x = 3,876,038,578,373.06/914,140.69
  6. Step 6: Final answer
    x = 4,240,089.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.