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Finding the Third Proportional to 2,829,054 and 5,788,841

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Solution

The third proportional to 2,829,054 and 5,788,841 is: 11,845,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,054 : 5,788,841 = 5,788,841 : x
  2. Step 2: Convert to fraction form
    2,829,054/5,788,841 = 5,788,841/x
  3. Step 3: Cross multiply
    2,829,054x = 5,788,841 × 5,788,841
  4. Step 4: Simplify right side
    2,829,054x = 33,510,680,123,281
  5. Step 5: Solve for x
    x = 33,510,680,123,281/2,829,054
  6. Step 6: Final answer
    x = 11,845,189.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.