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Finding the Third Proportional to 377,442 and 889,749

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Solution

The third proportional to 377,442 and 889,749 is: 2,097,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,442 : 889,749 = 889,749 : x
  2. Step 2: Convert to fraction form
    377,442/889,749 = 889,749/x
  3. Step 3: Cross multiply
    377,442x = 889,749 × 889,749
  4. Step 4: Simplify right side
    377,442x = 791,653,283,001
  5. Step 5: Solve for x
    x = 791,653,283,001/377,442
  6. Step 6: Final answer
    x = 2,097,417.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.