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Finding the Third Proportional to 449,307 and 973,377

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Solution

The third proportional to 449,307 and 973,377 is: 2,108,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,307 : 973,377 = 973,377 : x
  2. Step 2: Convert to fraction form
    449,307/973,377 = 973,377/x
  3. Step 3: Cross multiply
    449,307x = 973,377 × 973,377
  4. Step 4: Simplify right side
    449,307x = 947,462,784,129
  5. Step 5: Solve for x
    x = 947,462,784,129/449,307
  6. Step 6: Final answer
    x = 2,108,720.28

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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.