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Finding the Third Proportional to 1,929,984 and 4,116,456

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Solution

The third proportional to 1,929,984 and 4,116,456 is: 8,779,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929,984 : 4,116,456 = 4,116,456 : x
  2. Step 2: Convert to fraction form
    1,929,984/4,116,456 = 4,116,456/x
  3. Step 3: Cross multiply
    1,929,984x = 4,116,456 × 4,116,456
  4. Step 4: Simplify right side
    1,929,984x = 16,945,209,999,936
  5. Step 5: Solve for x
    x = 16,945,209,999,936/1,929,984
  6. Step 6: Final answer
    x = 8,779,974.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.