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Finding the Third Proportional to 598,645 and 929,447

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Solution

The third proportional to 598,645 and 929,447 is: 1,443,045.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,645 : 929,447 = 929,447 : x
  2. Step 2: Convert to fraction form
    598,645/929,447 = 929,447/x
  3. Step 3: Cross multiply
    598,645x = 929,447 × 929,447
  4. Step 4: Simplify right side
    598,645x = 863,871,725,809
  5. Step 5: Solve for x
    x = 863,871,725,809/598,645
  6. Step 6: Final answer
    x = 1,443,045.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.