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Finding the Third Proportional to 1,220,892.75 and 1,794,798

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Solution

The third proportional to 1,220,892.75 and 1,794,798 is: 2,638,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220,892.75 : 1,794,798 = 1,794,798 : x
  2. Step 2: Convert to fraction form
    1,220,892.75/1,794,798 = 1,794,798/x
  3. Step 3: Cross multiply
    1,220,892.75x = 1,794,798 × 1,794,798
  4. Step 4: Simplify right side
    1,220,892.75x = 3,221,299,860,804
  5. Step 5: Solve for x
    x = 3,221,299,860,804/1,220,892.75
  6. Step 6: Final answer
    x = 2,638,478.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.