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Finding the Third Proportional to 452,869.50 and 976,680

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Solution

The third proportional to 452,869.50 and 976,680 is: 2,106,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,869.50 : 976,680 = 976,680 : x
  2. Step 2: Convert to fraction form
    452,869.50/976,680 = 976,680/x
  3. Step 3: Cross multiply
    452,869.50x = 976,680 × 976,680
  4. Step 4: Simplify right side
    452,869.50x = 953,903,822,400
  5. Step 5: Solve for x
    x = 953,903,822,400/452,869.50
  6. Step 6: Final answer
    x = 2,106,354.75

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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.