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Finding the Third Proportional to 502,698 and 1,095,723

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Solution

The third proportional to 502,698 and 1,095,723 is: 2,388,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,698 : 1,095,723 = 1,095,723 : x
  2. Step 2: Convert to fraction form
    502,698/1,095,723 = 1,095,723/x
  3. Step 3: Cross multiply
    502,698x = 1,095,723 × 1,095,723
  4. Step 4: Simplify right side
    502,698x = 1,200,608,892,729
  5. Step 5: Solve for x
    x = 1,200,608,892,729/502,698
  6. Step 6: Final answer
    x = 2,388,330.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.