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Finding the Third Proportional to 469,666.13 and 1,046,904.75

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Solution

The third proportional to 469,666.13 and 1,046,904.75 is: 2,333,592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,666.13 : 1,046,904.75 = 1,046,904.75 : x
  2. Step 2: Convert to fraction form
    469,666.13/1,046,904.75 = 1,046,904.75/x
  3. Step 3: Cross multiply
    469,666.13x = 1,046,904.75 × 1,046,904.75
  4. Step 4: Simplify right side
    469,666.13x = 1,096,009,555,572.56
  5. Step 5: Solve for x
    x = 1,096,009,555,572.56/469,666.13
  6. Step 6: Final answer
    x = 2,333,592.94

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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.