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Finding the Third Proportional to 655,058 and 842,619

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Solution

The third proportional to 655,058 and 842,619 is: 1,083,883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,058 : 842,619 = 842,619 : x
  2. Step 2: Convert to fraction form
    655,058/842,619 = 842,619/x
  3. Step 3: Cross multiply
    655,058x = 842,619 × 842,619
  4. Step 4: Simplify right side
    655,058x = 710,006,779,161
  5. Step 5: Solve for x
    x = 710,006,779,161/655,058
  6. Step 6: Final answer
    x = 1,083,883.84

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.