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Finding the Third Proportional to 528,085.69 and 1,140,348.09

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Solution

The third proportional to 528,085.69 and 1,140,348.09 is: 2,462,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,085.69 : 1,140,348.09 = 1,140,348.09 : x
  2. Step 2: Convert to fraction form
    528,085.69/1,140,348.09 = 1,140,348.09/x
  3. Step 3: Cross multiply
    528,085.69x = 1,140,348.09 × 1,140,348.09
  4. Step 4: Simplify right side
    528,085.69x = 1,300,393,774,919.26
  5. Step 5: Solve for x
    x = 1,300,393,774,919.26/528,085.69
  6. Step 6: Final answer
    x = 2,462,467.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.