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Finding the Third Proportional to 623,830 and 991,736

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Solution

The third proportional to 623,830 and 991,736 is: 1,576,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,830 : 991,736 = 991,736 : x
  2. Step 2: Convert to fraction form
    623,830/991,736 = 991,736/x
  3. Step 3: Cross multiply
    623,830x = 991,736 × 991,736
  4. Step 4: Simplify right side
    623,830x = 983,540,293,696
  5. Step 5: Solve for x
    x = 983,540,293,696/623,830
  6. Step 6: Final answer
    x = 1,576,615.89

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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.