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Finding the Third Proportional to 654,854 and 1,405,388

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Solution

The third proportional to 654,854 and 1,405,388 is: 3,016,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,854 : 1,405,388 = 1,405,388 : x
  2. Step 2: Convert to fraction form
    654,854/1,405,388 = 1,405,388/x
  3. Step 3: Cross multiply
    654,854x = 1,405,388 × 1,405,388
  4. Step 4: Simplify right side
    654,854x = 1,975,115,430,544
  5. Step 5: Solve for x
    x = 1,975,115,430,544/654,854
  6. Step 6: Final answer
    x = 3,016,115.70

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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.