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Finding the Third Proportional to 680,941.69 and 1,537,309.13

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Solution

The third proportional to 680,941.69 and 1,537,309.13 is: 3,470,663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,941.69 : 1,537,309.13 = 1,537,309.13 : x
  2. Step 2: Convert to fraction form
    680,941.69/1,537,309.13 = 1,537,309.13/x
  3. Step 3: Cross multiply
    680,941.69x = 1,537,309.13 × 1,537,309.13
  4. Step 4: Simplify right side
    680,941.69x = 2,363,319,345,808.27
  5. Step 5: Solve for x
    x = 2,363,319,345,808.27/680,941.69
  6. Step 6: Final answer
    x = 3,470,663.33

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.