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Finding the Third Proportional to 873,360 and 1,311,264

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Solution

The third proportional to 873,360 and 1,311,264 is: 1,968,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,360 : 1,311,264 = 1,311,264 : x
  2. Step 2: Convert to fraction form
    873,360/1,311,264 = 1,311,264/x
  3. Step 3: Cross multiply
    873,360x = 1,311,264 × 1,311,264
  4. Step 4: Simplify right side
    873,360x = 1,719,413,277,696
  5. Step 5: Solve for x
    x = 1,719,413,277,696/873,360
  6. Step 6: Final answer
    x = 1,968,733.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.