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Finding the Third Proportional to 482,214.52 and 1,030,859.16

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Solution

The third proportional to 482,214.52 and 1,030,859.16 is: 2,203,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,214.52 : 1,030,859.16 = 1,030,859.16 : x
  2. Step 2: Convert to fraction form
    482,214.52/1,030,859.16 = 1,030,859.16/x
  3. Step 3: Cross multiply
    482,214.52x = 1,030,859.16 × 1,030,859.16
  4. Step 4: Simplify right side
    482,214.52x = 1,062,670,600,024.46
  5. Step 5: Solve for x
    x = 1,062,670,600,024.46/482,214.52
  6. Step 6: Final answer
    x = 2,203,730.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.