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Finding the Third Proportional to 788,428.75 and 1,726,120

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Solution

The third proportional to 788,428.75 and 1,726,120 is: 3,779,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,428.75 : 1,726,120 = 1,726,120 : x
  2. Step 2: Convert to fraction form
    788,428.75/1,726,120 = 1,726,120/x
  3. Step 3: Cross multiply
    788,428.75x = 1,726,120 × 1,726,120
  4. Step 4: Simplify right side
    788,428.75x = 2,979,490,254,400
  5. Step 5: Solve for x
    x = 2,979,490,254,400/788,428.75
  6. Step 6: Final answer
    x = 3,779,022.84

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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.