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Finding the Third Proportional to 656,808 and 1,411,842

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Solution

The third proportional to 656,808 and 1,411,842 is: 3,034,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,808 : 1,411,842 = 1,411,842 : x
  2. Step 2: Convert to fraction form
    656,808/1,411,842 = 1,411,842/x
  3. Step 3: Cross multiply
    656,808x = 1,411,842 × 1,411,842
  4. Step 4: Simplify right side
    656,808x = 1,993,297,832,964
  5. Step 5: Solve for x
    x = 1,993,297,832,964/656,808
  6. Step 6: Final answer
    x = 3,034,825.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.