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Finding the Third Proportional to 893,376 and 1,944,216

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Solution

The third proportional to 893,376 and 1,944,216 is: 4,231,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,376 : 1,944,216 = 1,944,216 : x
  2. Step 2: Convert to fraction form
    893,376/1,944,216 = 1,944,216/x
  3. Step 3: Cross multiply
    893,376x = 1,944,216 × 1,944,216
  4. Step 4: Simplify right side
    893,376x = 3,779,975,854,656
  5. Step 5: Solve for x
    x = 3,779,975,854,656/893,376
  6. Step 6: Final answer
    x = 4,231,114.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.