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Finding the Third Proportional to 650,672 and 972,178

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Solution

The third proportional to 650,672 and 972,178 is: 1,452,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,672 : 972,178 = 972,178 : x
  2. Step 2: Convert to fraction form
    650,672/972,178 = 972,178/x
  3. Step 3: Cross multiply
    650,672x = 972,178 × 972,178
  4. Step 4: Simplify right side
    650,672x = 945,130,063,684
  5. Step 5: Solve for x
    x = 945,130,063,684/650,672
  6. Step 6: Final answer
    x = 1,452,544.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.