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Finding the Third Proportional to 810,114 and 1,772,796

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Solution

The third proportional to 810,114 and 1,772,796 is: 3,879,460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,114 : 1,772,796 = 1,772,796 : x
  2. Step 2: Convert to fraction form
    810,114/1,772,796 = 1,772,796/x
  3. Step 3: Cross multiply
    810,114x = 1,772,796 × 1,772,796
  4. Step 4: Simplify right side
    810,114x = 3,142,805,657,616
  5. Step 5: Solve for x
    x = 3,142,805,657,616/810,114
  6. Step 6: Final answer
    x = 3,879,460.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.