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Finding the Third Proportional to 2,430,380 and 5,318,240

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Solution

The third proportional to 2,430,380 and 5,318,240 is: 11,637,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,380 : 5,318,240 = 5,318,240 : x
  2. Step 2: Convert to fraction form
    2,430,380/5,318,240 = 5,318,240/x
  3. Step 3: Cross multiply
    2,430,380x = 5,318,240 × 5,318,240
  4. Step 4: Simplify right side
    2,430,380x = 28,283,676,697,600
  5. Step 5: Solve for x
    x = 28,283,676,697,600/2,430,380
  6. Step 6: Final answer
    x = 11,637,553.26

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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.