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Finding the Third Proportional to 540,024 and 1,250,196

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Solution

The third proportional to 540,024 and 1,250,196 is: 2,894,297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,024 : 1,250,196 = 1,250,196 : x
  2. Step 2: Convert to fraction form
    540,024/1,250,196 = 1,250,196/x
  3. Step 3: Cross multiply
    540,024x = 1,250,196 × 1,250,196
  4. Step 4: Simplify right side
    540,024x = 1,562,990,038,416
  5. Step 5: Solve for x
    x = 1,562,990,038,416/540,024
  6. Step 6: Final answer
    x = 2,894,297.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.