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Finding the Third Proportional to 822,840 and 1,243,008

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Solution

The third proportional to 822,840 and 1,243,008 is: 1,877,727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,840 : 1,243,008 = 1,243,008 : x
  2. Step 2: Convert to fraction form
    822,840/1,243,008 = 1,243,008/x
  3. Step 3: Cross multiply
    822,840x = 1,243,008 × 1,243,008
  4. Step 4: Simplify right side
    822,840x = 1,545,068,888,064
  5. Step 5: Solve for x
    x = 1,545,068,888,064/822,840
  6. Step 6: Final answer
    x = 1,877,727.00

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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.