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Finding the Third Proportional to 3,298,128.75 and 5,045,278.50

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Solution

The third proportional to 3,298,128.75 and 5,045,278.50 is: 7,717,962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298,128.75 : 5,045,278.50 = 5,045,278.50 : x
  2. Step 2: Convert to fraction form
    3,298,128.75/5,045,278.50 = 5,045,278.50/x
  3. Step 3: Cross multiply
    3,298,128.75x = 5,045,278.50 × 5,045,278.50
  4. Step 4: Simplify right side
    3,298,128.75x = 25,454,835,142,562.25
  5. Step 5: Solve for x
    x = 25,454,835,142,562.25/3,298,128.75
  6. Step 6: Final answer
    x = 7,717,962.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.