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Finding the Third Proportional to 2,071,455 and 4,430,749

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Solution

The third proportional to 2,071,455 and 4,430,749 is: 9,477,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,455 : 4,430,749 = 4,430,749 : x
  2. Step 2: Convert to fraction form
    2,071,455/4,430,749 = 4,430,749/x
  3. Step 3: Cross multiply
    2,071,455x = 4,430,749 × 4,430,749
  4. Step 4: Simplify right side
    2,071,455x = 19,631,536,701,001
  5. Step 5: Solve for x
    x = 19,631,536,701,001/2,071,455
  6. Step 6: Final answer
    x = 9,477,172.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.