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Finding the Third Proportional to 2,051,982 and 4,454,430

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Solution

The third proportional to 2,051,982 and 4,454,430 is: 9,669,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,982 : 4,454,430 = 4,454,430 : x
  2. Step 2: Convert to fraction form
    2,051,982/4,454,430 = 4,454,430/x
  3. Step 3: Cross multiply
    2,051,982x = 4,454,430 × 4,454,430
  4. Step 4: Simplify right side
    2,051,982x = 19,841,946,624,900
  5. Step 5: Solve for x
    x = 19,841,946,624,900/2,051,982
  6. Step 6: Final answer
    x = 9,669,649.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.