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Finding the Third Proportional to 2,298,894 and 5,025,820

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Solution

The third proportional to 2,298,894 and 5,025,820 is: 10,987,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,894 : 5,025,820 = 5,025,820 : x
  2. Step 2: Convert to fraction form
    2,298,894/5,025,820 = 5,025,820/x
  3. Step 3: Cross multiply
    2,298,894x = 5,025,820 × 5,025,820
  4. Step 4: Simplify right side
    2,298,894x = 25,258,866,672,400
  5. Step 5: Solve for x
    x = 25,258,866,672,400/2,298,894
  6. Step 6: Final answer
    x = 10,987,399.45

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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.