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Finding the Third Proportional to 822,417 and 1,226,807

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Solution

The third proportional to 822,417 and 1,226,807 is: 1,830,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,417 : 1,226,807 = 1,226,807 : x
  2. Step 2: Convert to fraction form
    822,417/1,226,807 = 1,226,807/x
  3. Step 3: Cross multiply
    822,417x = 1,226,807 × 1,226,807
  4. Step 4: Simplify right side
    822,417x = 1,505,055,415,249
  5. Step 5: Solve for x
    x = 1,505,055,415,249/822,417
  6. Step 6: Final answer
    x = 1,830,039.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.