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Finding the Third Proportional to 594,227 and 1,280,854

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Solution

The third proportional to 594,227 and 1,280,854 is: 2,760,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,227 : 1,280,854 = 1,280,854 : x
  2. Step 2: Convert to fraction form
    594,227/1,280,854 = 1,280,854/x
  3. Step 3: Cross multiply
    594,227x = 1,280,854 × 1,280,854
  4. Step 4: Simplify right side
    594,227x = 1,640,586,969,316
  5. Step 5: Solve for x
    x = 1,640,586,969,316/594,227
  6. Step 6: Final answer
    x = 2,760,875.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.