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Finding the Third Proportional to 526,052 and 1,150,492

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Solution

The third proportional to 526,052 and 1,150,492 is: 2,516,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,052 : 1,150,492 = 1,150,492 : x
  2. Step 2: Convert to fraction form
    526,052/1,150,492 = 1,150,492/x
  3. Step 3: Cross multiply
    526,052x = 1,150,492 × 1,150,492
  4. Step 4: Simplify right side
    526,052x = 1,323,631,842,064
  5. Step 5: Solve for x
    x = 1,323,631,842,064/526,052
  6. Step 6: Final answer
    x = 2,516,161.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.