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Finding the Third Proportional to 972,965 and 2,129,190

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Solution

The third proportional to 972,965 and 2,129,190 is: 4,659,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,965 : 2,129,190 = 2,129,190 : x
  2. Step 2: Convert to fraction form
    972,965/2,129,190 = 2,129,190/x
  3. Step 3: Cross multiply
    972,965x = 2,129,190 × 2,129,190
  4. Step 4: Simplify right side
    972,965x = 4,533,450,056,100
  5. Step 5: Solve for x
    x = 4,533,450,056,100/972,965
  6. Step 6: Final answer
    x = 4,659,417.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.