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Finding the Third Proportional to 2,820,498 and 4,296,877.50

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Solution

The third proportional to 2,820,498 and 4,296,877.50 is: 6,546,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820,498 : 4,296,877.50 = 4,296,877.50 : x
  2. Step 2: Convert to fraction form
    2,820,498/4,296,877.50 = 4,296,877.50/x
  3. Step 3: Cross multiply
    2,820,498x = 4,296,877.50 × 4,296,877.50
  4. Step 4: Simplify right side
    2,820,498x = 18,463,156,250,006.25
  5. Step 5: Solve for x
    x = 18,463,156,250,006.25/2,820,498
  6. Step 6: Final answer
    x = 6,546,062.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.