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Finding the Third Proportional to 656,574.75 and 1,411,233.75

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Solution

The third proportional to 656,574.75 and 1,411,233.75 is: 3,033,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,574.75 : 1,411,233.75 = 1,411,233.75 : x
  2. Step 2: Convert to fraction form
    656,574.75/1,411,233.75 = 1,411,233.75/x
  3. Step 3: Cross multiply
    656,574.75x = 1,411,233.75 × 1,411,233.75
  4. Step 4: Simplify right side
    656,574.75x = 1,991,580,697,139.06
  5. Step 5: Solve for x
    x = 1,991,580,697,139.06/656,574.75
  6. Step 6: Final answer
    x = 3,033,288.59

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Why These Related Problems?

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