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Finding the Third Proportional to 2,095,364 and 4,496,584

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Solution

The third proportional to 2,095,364 and 4,496,584 is: 9,649,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,364 : 4,496,584 = 4,496,584 : x
  2. Step 2: Convert to fraction form
    2,095,364/4,496,584 = 4,496,584/x
  3. Step 3: Cross multiply
    2,095,364x = 4,496,584 × 4,496,584
  4. Step 4: Simplify right side
    2,095,364x = 20,219,267,669,056
  5. Step 5: Solve for x
    x = 20,219,267,669,056/2,095,364
  6. Step 6: Final answer
    x = 9,649,525.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.