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Finding the Third Proportional to 648,852 and 1,387,380

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Solution

The third proportional to 648,852 and 1,387,380 is: 2,966,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,852 : 1,387,380 = 1,387,380 : x
  2. Step 2: Convert to fraction form
    648,852/1,387,380 = 1,387,380/x
  3. Step 3: Cross multiply
    648,852x = 1,387,380 × 1,387,380
  4. Step 4: Simplify right side
    648,852x = 1,924,823,264,400
  5. Step 5: Solve for x
    x = 1,924,823,264,400/648,852
  6. Step 6: Final answer
    x = 2,966,505.87

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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.