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Finding the Third Proportional to 1,085,316 and 2,363,494

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Solution

The third proportional to 1,085,316 and 2,363,494 is: 5,146,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,316 : 2,363,494 = 2,363,494 : x
  2. Step 2: Convert to fraction form
    1,085,316/2,363,494 = 2,363,494/x
  3. Step 3: Cross multiply
    1,085,316x = 2,363,494 × 2,363,494
  4. Step 4: Simplify right side
    1,085,316x = 5,586,103,888,036
  5. Step 5: Solve for x
    x = 5,586,103,888,036/1,085,316
  6. Step 6: Final answer
    x = 5,146,983.82

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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.