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Finding the Third Proportional to 788,827 and 1,128,031

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Solution

The third proportional to 788,827 and 1,128,031 is: 1,613,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,827 : 1,128,031 = 1,128,031 : x
  2. Step 2: Convert to fraction form
    788,827/1,128,031 = 1,128,031/x
  3. Step 3: Cross multiply
    788,827x = 1,128,031 × 1,128,031
  4. Step 4: Simplify right side
    788,827x = 1,272,453,936,961
  5. Step 5: Solve for x
    x = 1,272,453,936,961/788,827
  6. Step 6: Final answer
    x = 1,613,096.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.