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Finding the Third Proportional to 2,876,023.50 and 4,578,536.25

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Solution

The third proportional to 2,876,023.50 and 4,578,536.25 is: 7,288,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876,023.50 : 4,578,536.25 = 4,578,536.25 : x
  2. Step 2: Convert to fraction form
    2,876,023.50/4,578,536.25 = 4,578,536.25/x
  3. Step 3: Cross multiply
    2,876,023.50x = 4,578,536.25 × 4,578,536.25
  4. Step 4: Simplify right side
    2,876,023.50x = 20,962,994,192,564.06
  5. Step 5: Solve for x
    x = 20,962,994,192,564.06/2,876,023.50
  6. Step 6: Final answer
    x = 7,288,881.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.