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Finding the Third Proportional to 1,527,123.50 and 3,015,699.50

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Solution

The third proportional to 1,527,123.50 and 3,015,699.50 is: 5,955,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,123.50 : 3,015,699.50 = 3,015,699.50 : x
  2. Step 2: Convert to fraction form
    1,527,123.50/3,015,699.50 = 3,015,699.50/x
  3. Step 3: Cross multiply
    1,527,123.50x = 3,015,699.50 × 3,015,699.50
  4. Step 4: Simplify right side
    1,527,123.50x = 9,094,443,474,300.25
  5. Step 5: Solve for x
    x = 9,094,443,474,300.25/1,527,123.50
  6. Step 6: Final answer
    x = 5,955,277.01

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.