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Finding the Third Proportional to 2,096,543 and 4,585,657

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Solution

The third proportional to 2,096,543 and 4,585,657 is: 10,029,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,543 : 4,585,657 = 4,585,657 : x
  2. Step 2: Convert to fraction form
    2,096,543/4,585,657 = 4,585,657/x
  3. Step 3: Cross multiply
    2,096,543x = 4,585,657 × 4,585,657
  4. Step 4: Simplify right side
    2,096,543x = 21,028,250,121,649
  5. Step 5: Solve for x
    x = 21,028,250,121,649/2,096,543
  6. Step 6: Final answer
    x = 10,029,963.67

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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.