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Finding the Third Proportional to 1,829,432 and 2,678,538

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Solution

The third proportional to 1,829,432 and 2,678,538 is: 3,921,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,432 : 2,678,538 = 2,678,538 : x
  2. Step 2: Convert to fraction form
    1,829,432/2,678,538 = 2,678,538/x
  3. Step 3: Cross multiply
    1,829,432x = 2,678,538 × 2,678,538
  4. Step 4: Simplify right side
    1,829,432x = 7,174,565,817,444
  5. Step 5: Solve for x
    x = 7,174,565,817,444/1,829,432
  6. Step 6: Final answer
    x = 3,921,745.01

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.