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Finding the Third Proportional to 525,725.44 and 1,148,747.06

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Solution

The third proportional to 525,725.44 and 1,148,747.06 is: 2,510,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,725.44 : 1,148,747.06 = 1,148,747.06 : x
  2. Step 2: Convert to fraction form
    525,725.44/1,148,747.06 = 1,148,747.06/x
  3. Step 3: Cross multiply
    525,725.44x = 1,148,747.06 × 1,148,747.06
  4. Step 4: Simplify right side
    525,725.44x = 1,319,619,813,602.38
  5. Step 5: Solve for x
    x = 1,319,619,813,602.38/525,725.44
  6. Step 6: Final answer
    x = 2,510,093.14

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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.