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Finding the Third Proportional to 809,728 and 1,153,468

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Solution

The third proportional to 809,728 and 1,153,468 is: 1,643,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,728 : 1,153,468 = 1,153,468 : x
  2. Step 2: Convert to fraction form
    809,728/1,153,468 = 1,153,468/x
  3. Step 3: Cross multiply
    809,728x = 1,153,468 × 1,153,468
  4. Step 4: Simplify right side
    809,728x = 1,330,488,427,024
  5. Step 5: Solve for x
    x = 1,330,488,427,024/809,728
  6. Step 6: Final answer
    x = 1,643,130.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.