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Finding the Third Proportional to 947,054 and 1,448,769

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Solution

The third proportional to 947,054 and 1,448,769 is: 2,216,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,054 : 1,448,769 = 1,448,769 : x
  2. Step 2: Convert to fraction form
    947,054/1,448,769 = 1,448,769/x
  3. Step 3: Cross multiply
    947,054x = 1,448,769 × 1,448,769
  4. Step 4: Simplify right side
    947,054x = 2,098,931,615,361
  5. Step 5: Solve for x
    x = 2,098,931,615,361/947,054
  6. Step 6: Final answer
    x = 2,216,274.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.