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Finding the Third Proportional to 615,706.50 and 1,347,381.75

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Solution

The third proportional to 615,706.50 and 1,347,381.75 is: 2,948,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,706.50 : 1,347,381.75 = 1,347,381.75 : x
  2. Step 2: Convert to fraction form
    615,706.50/1,347,381.75 = 1,347,381.75/x
  3. Step 3: Cross multiply
    615,706.50x = 1,347,381.75 × 1,347,381.75
  4. Step 4: Simplify right side
    615,706.50x = 1,815,437,580,233.06
  5. Step 5: Solve for x
    x = 1,815,437,580,233.06/615,706.50
  6. Step 6: Final answer
    x = 2,948,543.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.