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Finding the Third Proportional to 461,778.47 and 1,010,533.78

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Solution

The third proportional to 461,778.47 and 1,010,533.78 is: 2,211,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,778.47 : 1,010,533.78 = 1,010,533.78 : x
  2. Step 2: Convert to fraction form
    461,778.47/1,010,533.78 = 1,010,533.78/x
  3. Step 3: Cross multiply
    461,778.47x = 1,010,533.78 × 1,010,533.78
  4. Step 4: Simplify right side
    461,778.47x = 1,021,178,523,047.42
  5. Step 5: Solve for x
    x = 1,021,178,523,047.42/461,778.47
  6. Step 6: Final answer
    x = 2,211,403.50

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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.