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Finding the Third Proportional to 690,360 and 1,476,664

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Solution

The third proportional to 690,360 and 1,476,664 is: 3,158,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,360 : 1,476,664 = 1,476,664 : x
  2. Step 2: Convert to fraction form
    690,360/1,476,664 = 1,476,664/x
  3. Step 3: Cross multiply
    690,360x = 1,476,664 × 1,476,664
  4. Step 4: Simplify right side
    690,360x = 2,180,536,568,896
  5. Step 5: Solve for x
    x = 2,180,536,568,896/690,360
  6. Step 6: Final answer
    x = 3,158,549.99

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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.