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Finding the Third Proportional to 452,693.81 and 976,519.13

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Solution

The third proportional to 452,693.81 and 976,519.13 is: 2,106,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,693.81 : 976,519.13 = 976,519.13 : x
  2. Step 2: Convert to fraction form
    452,693.81/976,519.13 = 976,519.13/x
  3. Step 3: Cross multiply
    452,693.81x = 976,519.13 × 976,519.13
  4. Step 4: Simplify right side
    452,693.81x = 953,589,601,490.77
  5. Step 5: Solve for x
    x = 953,589,601,490.77/452,693.81
  6. Step 6: Final answer
    x = 2,106,478.10

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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.