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Finding the Third Proportional to 1,059,675.75 and 2,316,053.25

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Solution

The third proportional to 1,059,675.75 and 2,316,053.25 is: 5,062,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,675.75 : 2,316,053.25 = 2,316,053.25 : x
  2. Step 2: Convert to fraction form
    1,059,675.75/2,316,053.25 = 2,316,053.25/x
  3. Step 3: Cross multiply
    1,059,675.75x = 2,316,053.25 × 2,316,053.25
  4. Step 4: Simplify right side
    1,059,675.75x = 5,364,102,656,835.56
  5. Step 5: Solve for x
    x = 5,364,102,656,835.56/1,059,675.75
  6. Step 6: Final answer
    x = 5,062,022.66

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