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Finding the Third Proportional to 460,068.19 and 943,084.69

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Solution

The third proportional to 460,068.19 and 943,084.69 is: 1,933,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,068.19 : 943,084.69 = 943,084.69 : x
  2. Step 2: Convert to fraction form
    460,068.19/943,084.69 = 943,084.69/x
  3. Step 3: Cross multiply
    460,068.19x = 943,084.69 × 943,084.69
  4. Step 4: Simplify right side
    460,068.19x = 889,408,727,796.97
  5. Step 5: Solve for x
    x = 889,408,727,796.97/460,068.19
  6. Step 6: Final answer
    x = 1,933,210.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.