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Finding the Third Proportional to 452,893.78 and 976,722.05

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Solution

The third proportional to 452,893.78 and 976,722.05 is: 2,106,423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,893.78 : 976,722.05 = 976,722.05 : x
  2. Step 2: Convert to fraction form
    452,893.78/976,722.05 = 976,722.05/x
  3. Step 3: Cross multiply
    452,893.78x = 976,722.05 × 976,722.05
  4. Step 4: Simplify right side
    452,893.78x = 953,985,956,851.69
  5. Step 5: Solve for x
    x = 953,985,956,851.69/452,893.78
  6. Step 6: Final answer
    x = 2,106,423.18

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