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Finding the Third Proportional to 4,106,958.19 and 6,442,298.30

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Solution

The third proportional to 4,106,958.19 and 6,442,298.30 is: 10,105,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106,958.19 : 6,442,298.30 = 6,442,298.30 : x
  2. Step 2: Convert to fraction form
    4,106,958.19/6,442,298.30 = 6,442,298.30/x
  3. Step 3: Cross multiply
    4,106,958.19x = 6,442,298.30 × 6,442,298.30
  4. Step 4: Simplify right side
    4,106,958.19x = 41,503,207,345,918.52
  5. Step 5: Solve for x
    x = 41,503,207,345,918.52/4,106,958.19
  6. Step 6: Final answer
    x = 10,105,583.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.