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Finding the Third Proportional to 656,834 and 1,411,896

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Solution

The third proportional to 656,834 and 1,411,896 is: 3,034,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,834 : 1,411,896 = 1,411,896 : x
  2. Step 2: Convert to fraction form
    656,834/1,411,896 = 1,411,896/x
  3. Step 3: Cross multiply
    656,834x = 1,411,896 × 1,411,896
  4. Step 4: Simplify right side
    656,834x = 1,993,450,314,816
  5. Step 5: Solve for x
    x = 1,993,450,314,816/656,834
  6. Step 6: Final answer
    x = 3,034,937.77

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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.