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Finding the Third Proportional to 469,670.63 and 1,046,913.75

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Solution

The third proportional to 469,670.63 and 1,046,913.75 is: 2,333,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,670.63 : 1,046,913.75 = 1,046,913.75 : x
  2. Step 2: Convert to fraction form
    469,670.63/1,046,913.75 = 1,046,913.75/x
  3. Step 3: Cross multiply
    469,670.63x = 1,046,913.75 × 1,046,913.75
  4. Step 4: Simplify right side
    469,670.63x = 1,096,028,399,939.06
  5. Step 5: Solve for x
    x = 1,096,028,399,939.06/469,670.63
  6. Step 6: Final answer
    x = 2,333,610.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.