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Finding the Third Proportional to 489,538.69 and 1,063,140.19

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Solution

The third proportional to 489,538.69 and 1,063,140.19 is: 2,308,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,538.69 : 1,063,140.19 = 1,063,140.19 : x
  2. Step 2: Convert to fraction form
    489,538.69/1,063,140.19 = 1,063,140.19/x
  3. Step 3: Cross multiply
    489,538.69x = 1,063,140.19 × 1,063,140.19
  4. Step 4: Simplify right side
    489,538.69x = 1,130,267,058,277.54
  5. Step 5: Solve for x
    x = 1,130,267,058,277.54/489,538.69
  6. Step 6: Final answer
    x = 2,308,841.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.