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Finding the Third Proportional to 649,095.19 and 1,685,017.69

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Solution

The third proportional to 649,095.19 and 1,685,017.69 is: 4,374,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,095.19 : 1,685,017.69 = 1,685,017.69 : x
  2. Step 2: Convert to fraction form
    649,095.19/1,685,017.69 = 1,685,017.69/x
  3. Step 3: Cross multiply
    649,095.19x = 1,685,017.69 × 1,685,017.69
  4. Step 4: Simplify right side
    649,095.19x = 2,839,284,607,187.85
  5. Step 5: Solve for x
    x = 2,839,284,607,187.85/649,095.19
  6. Step 6: Final answer
    x = 4,374,219.16

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.