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Finding the Third Proportional to 1,584,344 and 3,421,206

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Solution

The third proportional to 1,584,344 and 3,421,206 is: 7,387,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,344 : 3,421,206 = 3,421,206 : x
  2. Step 2: Convert to fraction form
    1,584,344/3,421,206 = 3,421,206/x
  3. Step 3: Cross multiply
    1,584,344x = 3,421,206 × 3,421,206
  4. Step 4: Simplify right side
    1,584,344x = 11,704,650,494,436
  5. Step 5: Solve for x
    x = 11,704,650,494,436/1,584,344
  6. Step 6: Final answer
    x = 7,387,695.16

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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.