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Finding the Third Proportional to 654,444 and 960,120

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Solution

The third proportional to 654,444 and 960,120 is: 1,408,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,444 : 960,120 = 960,120 : x
  2. Step 2: Convert to fraction form
    654,444/960,120 = 960,120/x
  3. Step 3: Cross multiply
    654,444x = 960,120 × 960,120
  4. Step 4: Simplify right side
    654,444x = 921,830,414,400
  5. Step 5: Solve for x
    x = 921,830,414,400/654,444
  6. Step 6: Final answer
    x = 1,408,570.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.