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Finding the Third Proportional to 665,798 and 942,082

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Solution

The third proportional to 665,798 and 942,082 is: 1,333,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,798 : 942,082 = 942,082 : x
  2. Step 2: Convert to fraction form
    665,798/942,082 = 942,082/x
  3. Step 3: Cross multiply
    665,798x = 942,082 × 942,082
  4. Step 4: Simplify right side
    665,798x = 887,518,494,724
  5. Step 5: Solve for x
    x = 887,518,494,724/665,798
  6. Step 6: Final answer
    x = 1,333,014.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.