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Finding the Third Proportional to 1,534,486 and 3,584,071

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Solution

The third proportional to 1,534,486 and 3,584,071 is: 8,371,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,486 : 3,584,071 = 3,584,071 : x
  2. Step 2: Convert to fraction form
    1,534,486/3,584,071 = 3,584,071/x
  3. Step 3: Cross multiply
    1,534,486x = 3,584,071 × 3,584,071
  4. Step 4: Simplify right side
    1,534,486x = 12,845,564,933,041
  5. Step 5: Solve for x
    x = 12,845,564,933,041/1,534,486
  6. Step 6: Final answer
    x = 8,371,249.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.