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Finding the Third Proportional to 518,738 and 1,146,340

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Solution

The third proportional to 518,738 and 1,146,340 is: 2,533,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,738 : 1,146,340 = 1,146,340 : x
  2. Step 2: Convert to fraction form
    518,738/1,146,340 = 1,146,340/x
  3. Step 3: Cross multiply
    518,738x = 1,146,340 × 1,146,340
  4. Step 4: Simplify right side
    518,738x = 1,314,095,395,600
  5. Step 5: Solve for x
    x = 1,314,095,395,600/518,738
  6. Step 6: Final answer
    x = 2,533,254.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.