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Finding the Third Proportional to 798,114 and 1,205,456

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Solution

The third proportional to 798,114 and 1,205,456 is: 1,820,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,114 : 1,205,456 = 1,205,456 : x
  2. Step 2: Convert to fraction form
    798,114/1,205,456 = 1,205,456/x
  3. Step 3: Cross multiply
    798,114x = 1,205,456 × 1,205,456
  4. Step 4: Simplify right side
    798,114x = 1,453,124,167,936
  5. Step 5: Solve for x
    x = 1,453,124,167,936/798,114
  6. Step 6: Final answer
    x = 1,820,697.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.