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Finding the Third Proportional to 800,830 and 1,078,664

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Solution

The third proportional to 800,830 and 1,078,664 is: 1,452,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,830 : 1,078,664 = 1,078,664 : x
  2. Step 2: Convert to fraction form
    800,830/1,078,664 = 1,078,664/x
  3. Step 3: Cross multiply
    800,830x = 1,078,664 × 1,078,664
  4. Step 4: Simplify right side
    800,830x = 1,163,516,024,896
  5. Step 5: Solve for x
    x = 1,163,516,024,896/800,830
  6. Step 6: Final answer
    x = 1,452,887.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.