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Finding the Third Proportional to 2,649,402 and 4,202,091

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Solution

The third proportional to 2,649,402 and 4,202,091 is: 6,664,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,402 : 4,202,091 = 4,202,091 : x
  2. Step 2: Convert to fraction form
    2,649,402/4,202,091 = 4,202,091/x
  3. Step 3: Cross multiply
    2,649,402x = 4,202,091 × 4,202,091
  4. Step 4: Simplify right side
    2,649,402x = 17,657,568,772,281
  5. Step 5: Solve for x
    x = 17,657,568,772,281/2,649,402
  6. Step 6: Final answer
    x = 6,664,737.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.