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Finding the Third Proportional to 481,710 and 1,037,413

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Solution

The third proportional to 481,710 and 1,037,413 is: 2,234,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,710 : 1,037,413 = 1,037,413 : x
  2. Step 2: Convert to fraction form
    481,710/1,037,413 = 1,037,413/x
  3. Step 3: Cross multiply
    481,710x = 1,037,413 × 1,037,413
  4. Step 4: Simplify right side
    481,710x = 1,076,225,732,569
  5. Step 5: Solve for x
    x = 1,076,225,732,569/481,710
  6. Step 6: Final answer
    x = 2,234,177.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.