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Finding the Third Proportional to 985,108 and 2,138,354

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Solution

The third proportional to 985,108 and 2,138,354 is: 4,641,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,108 : 2,138,354 = 2,138,354 : x
  2. Step 2: Convert to fraction form
    985,108/2,138,354 = 2,138,354/x
  3. Step 3: Cross multiply
    985,108x = 2,138,354 × 2,138,354
  4. Step 4: Simplify right side
    985,108x = 4,572,557,829,316
  5. Step 5: Solve for x
    x = 4,572,557,829,316/985,108
  6. Step 6: Final answer
    x = 4,641,681.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.