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Finding the Third Proportional to 1,586,313 and 3,487,554

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Solution

The third proportional to 1,586,313 and 3,487,554 is: 7,667,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,313 : 3,487,554 = 3,487,554 : x
  2. Step 2: Convert to fraction form
    1,586,313/3,487,554 = 3,487,554/x
  3. Step 3: Cross multiply
    1,586,313x = 3,487,554 × 3,487,554
  4. Step 4: Simplify right side
    1,586,313x = 12,163,032,902,916
  5. Step 5: Solve for x
    x = 12,163,032,902,916/1,586,313
  6. Step 6: Final answer
    x = 7,667,486.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.