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Finding the Third Proportional to 691,116 and 1,437,406

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Solution

The third proportional to 691,116 and 1,437,406 is: 2,989,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,116 : 1,437,406 = 1,437,406 : x
  2. Step 2: Convert to fraction form
    691,116/1,437,406 = 1,437,406/x
  3. Step 3: Cross multiply
    691,116x = 1,437,406 × 1,437,406
  4. Step 4: Simplify right side
    691,116x = 2,066,136,008,836
  5. Step 5: Solve for x
    x = 2,066,136,008,836/691,116
  6. Step 6: Final answer
    x = 2,989,564.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.