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Finding the Third Proportional to 698,672 and 1,496,944

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Solution

The third proportional to 698,672 and 1,496,944 is: 3,207,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,672 : 1,496,944 = 1,496,944 : x
  2. Step 2: Convert to fraction form
    698,672/1,496,944 = 1,496,944/x
  3. Step 3: Cross multiply
    698,672x = 1,496,944 × 1,496,944
  4. Step 4: Simplify right side
    698,672x = 2,240,841,339,136
  5. Step 5: Solve for x
    x = 2,240,841,339,136/698,672
  6. Step 6: Final answer
    x = 3,207,286.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.