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Finding the Third Proportional to 713,698 and 1,042,069

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Solution

The third proportional to 713,698 and 1,042,069 is: 1,521,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,698 : 1,042,069 = 1,042,069 : x
  2. Step 2: Convert to fraction form
    713,698/1,042,069 = 1,042,069/x
  3. Step 3: Cross multiply
    713,698x = 1,042,069 × 1,042,069
  4. Step 4: Simplify right side
    713,698x = 1,085,907,800,761
  5. Step 5: Solve for x
    x = 1,085,907,800,761/713,698
  6. Step 6: Final answer
    x = 1,521,522.83

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.