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Finding the Third Proportional to 2,261,370 and 4,921,323

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Solution

The third proportional to 2,261,370 and 4,921,323 is: 10,710,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261,370 : 4,921,323 = 4,921,323 : x
  2. Step 2: Convert to fraction form
    2,261,370/4,921,323 = 4,921,323/x
  3. Step 3: Cross multiply
    2,261,370x = 4,921,323 × 4,921,323
  4. Step 4: Simplify right side
    2,261,370x = 24,219,420,070,329
  5. Step 5: Solve for x
    x = 24,219,420,070,329/2,261,370
  6. Step 6: Final answer
    x = 10,710,065.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.