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Finding the Third Proportional to 2,070,298.13 and 4,524,411.38

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Solution

The third proportional to 2,070,298.13 and 4,524,411.38 is: 9,887,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070,298.13 : 4,524,411.38 = 4,524,411.38 : x
  2. Step 2: Convert to fraction form
    2,070,298.13/4,524,411.38 = 4,524,411.38/x
  3. Step 3: Cross multiply
    2,070,298.13x = 4,524,411.38 × 4,524,411.38
  4. Step 4: Simplify right side
    2,070,298.13x = 20,470,298,290,229.39
  5. Step 5: Solve for x
    x = 20,470,298,290,229.39/2,070,298.13
  6. Step 6: Final answer
    x = 9,887,608.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.