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Finding the Third Proportional to 2,430,095 and 3,740,400

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Solution

The third proportional to 2,430,095 and 3,740,400 is: 5,757,220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,095 : 3,740,400 = 3,740,400 : x
  2. Step 2: Convert to fraction form
    2,430,095/3,740,400 = 3,740,400/x
  3. Step 3: Cross multiply
    2,430,095x = 3,740,400 × 3,740,400
  4. Step 4: Simplify right side
    2,430,095x = 13,990,592,160,000
  5. Step 5: Solve for x
    x = 13,990,592,160,000/2,430,095
  6. Step 6: Final answer
    x = 5,757,220.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.