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Finding the Third Proportional to 502,362 and 1,083,435.75

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Solution

The third proportional to 502,362 and 1,083,435.75 is: 2,336,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,362 : 1,083,435.75 = 1,083,435.75 : x
  2. Step 2: Convert to fraction form
    502,362/1,083,435.75 = 1,083,435.75/x
  3. Step 3: Cross multiply
    502,362x = 1,083,435.75 × 1,083,435.75
  4. Step 4: Simplify right side
    502,362x = 1,173,833,024,378.06
  5. Step 5: Solve for x
    x = 1,173,833,024,378.06/502,362
  6. Step 6: Final answer
    x = 2,336,627.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.