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Finding the Third Proportional to 2,112,498 and 4,561,748.50

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Solution

The third proportional to 2,112,498 and 4,561,748.50 is: 9,850,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112,498 : 4,561,748.50 = 4,561,748.50 : x
  2. Step 2: Convert to fraction form
    2,112,498/4,561,748.50 = 4,561,748.50/x
  3. Step 3: Cross multiply
    2,112,498x = 4,561,748.50 × 4,561,748.50
  4. Step 4: Simplify right side
    2,112,498x = 20,809,549,377,252.25
  5. Step 5: Solve for x
    x = 20,809,549,377,252.25/2,112,498
  6. Step 6: Final answer
    x = 9,850,683.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.