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Finding the Third Proportional to 484,749 and 1,035,486

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Solution

The third proportional to 484,749 and 1,035,486 is: 2,211,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,749 : 1,035,486 = 1,035,486 : x
  2. Step 2: Convert to fraction form
    484,749/1,035,486 = 1,035,486/x
  3. Step 3: Cross multiply
    484,749x = 1,035,486 × 1,035,486
  4. Step 4: Simplify right side
    484,749x = 1,072,231,256,196
  5. Step 5: Solve for x
    x = 1,072,231,256,196/484,749
  6. Step 6: Final answer
    x = 2,211,930.83

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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.