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Finding the Third Proportional to 2,174,132 and 4,611,352

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Solution

The third proportional to 2,174,132 and 4,611,352 is: 9,780,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,132 : 4,611,352 = 4,611,352 : x
  2. Step 2: Convert to fraction form
    2,174,132/4,611,352 = 4,611,352/x
  3. Step 3: Cross multiply
    2,174,132x = 4,611,352 × 4,611,352
  4. Step 4: Simplify right side
    2,174,132x = 21,264,567,267,904
  5. Step 5: Solve for x
    x = 21,264,567,267,904/2,174,132
  6. Step 6: Final answer
    x = 9,780,715.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.