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Finding the Third Proportional to 2,103,364 and 4,604,760

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Solution

The third proportional to 2,103,364 and 4,604,760 is: 10,080,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,364 : 4,604,760 = 4,604,760 : x
  2. Step 2: Convert to fraction form
    2,103,364/4,604,760 = 4,604,760/x
  3. Step 3: Cross multiply
    2,103,364x = 4,604,760 × 4,604,760
  4. Step 4: Simplify right side
    2,103,364x = 21,203,814,657,600
  5. Step 5: Solve for x
    x = 21,203,814,657,600/2,103,364
  6. Step 6: Final answer
    x = 10,080,905.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.