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Finding the Third Proportional to 1,407,402 and 3,014,094

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Solution

The third proportional to 1,407,402 and 3,014,094 is: 6,454,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,402 : 3,014,094 = 3,014,094 : x
  2. Step 2: Convert to fraction form
    1,407,402/3,014,094 = 3,014,094/x
  3. Step 3: Cross multiply
    1,407,402x = 3,014,094 × 3,014,094
  4. Step 4: Simplify right side
    1,407,402x = 9,084,762,640,836
  5. Step 5: Solve for x
    x = 9,084,762,640,836/1,407,402
  6. Step 6: Final answer
    x = 6,454,987.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.