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Finding the Third Proportional to 2,496,784.50 and 3,771,416

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Solution

The third proportional to 2,496,784.50 and 3,771,416 is: 5,696,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496,784.50 : 3,771,416 = 3,771,416 : x
  2. Step 2: Convert to fraction form
    2,496,784.50/3,771,416 = 3,771,416/x
  3. Step 3: Cross multiply
    2,496,784.50x = 3,771,416 × 3,771,416
  4. Step 4: Simplify right side
    2,496,784.50x = 14,223,578,645,056
  5. Step 5: Solve for x
    x = 14,223,578,645,056/2,496,784.50
  6. Step 6: Final answer
    x = 5,696,758.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.