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Finding the Third Proportional to 884,493 and 1,402,803

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Solution

The third proportional to 884,493 and 1,402,803 is: 2,224,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,493 : 1,402,803 = 1,402,803 : x
  2. Step 2: Convert to fraction form
    884,493/1,402,803 = 1,402,803/x
  3. Step 3: Cross multiply
    884,493x = 1,402,803 × 1,402,803
  4. Step 4: Simplify right side
    884,493x = 1,967,856,256,809
  5. Step 5: Solve for x
    x = 1,967,856,256,809/884,493
  6. Step 6: Final answer
    x = 2,224,840.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.