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Finding the Third Proportional to 483,630.75 and 1,024,875.28

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Solution

The third proportional to 483,630.75 and 1,024,875.28 is: 2,171,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,630.75 : 1,024,875.28 = 1,024,875.28 : x
  2. Step 2: Convert to fraction form
    483,630.75/1,024,875.28 = 1,024,875.28/x
  3. Step 3: Cross multiply
    483,630.75x = 1,024,875.28 × 1,024,875.28
  4. Step 4: Simplify right side
    483,630.75x = 1,050,369,342,117.27
  5. Step 5: Solve for x
    x = 1,050,369,342,117.27/483,630.75
  6. Step 6: Final answer
    x = 2,171,841.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.