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Finding the Third Proportional to 656,004 and 1,412,610

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Solution

The third proportional to 656,004 and 1,412,610 is: 3,041,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,004 : 1,412,610 = 1,412,610 : x
  2. Step 2: Convert to fraction form
    656,004/1,412,610 = 1,412,610/x
  3. Step 3: Cross multiply
    656,004x = 1,412,610 × 1,412,610
  4. Step 4: Simplify right side
    656,004x = 1,995,467,012,100
  5. Step 5: Solve for x
    x = 1,995,467,012,100/656,004
  6. Step 6: Final answer
    x = 3,041,851.90

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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.