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Finding the Third Proportional to 817,200 and 1,260,264

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Solution

The third proportional to 817,200 and 1,260,264 is: 1,943,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,200 : 1,260,264 = 1,260,264 : x
  2. Step 2: Convert to fraction form
    817,200/1,260,264 = 1,260,264/x
  3. Step 3: Cross multiply
    817,200x = 1,260,264 × 1,260,264
  4. Step 4: Simplify right side
    817,200x = 1,588,265,349,696
  5. Step 5: Solve for x
    x = 1,588,265,349,696/817,200
  6. Step 6: Final answer
    x = 1,943,545.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.