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Finding the Third Proportional to 452,904.75 and 976,740.75

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Solution

The third proportional to 452,904.75 and 976,740.75 is: 2,106,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,904.75 : 976,740.75 = 976,740.75 : x
  2. Step 2: Convert to fraction form
    452,904.75/976,740.75 = 976,740.75/x
  3. Step 3: Cross multiply
    452,904.75x = 976,740.75 × 976,740.75
  4. Step 4: Simplify right side
    452,904.75x = 954,022,492,710.56
  5. Step 5: Solve for x
    x = 954,022,492,710.56/452,904.75
  6. Step 6: Final answer
    x = 2,106,452.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.