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Finding the Third Proportional to 875,409.19 and 1,313,113.78

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Solution

The third proportional to 875,409.19 and 1,313,113.78 is: 1,969,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,409.19 : 1,313,113.78 = 1,313,113.78 : x
  2. Step 2: Convert to fraction form
    875,409.19/1,313,113.78 = 1,313,113.78/x
  3. Step 3: Cross multiply
    875,409.19x = 1,313,113.78 × 1,313,113.78
  4. Step 4: Simplify right side
    875,409.19x = 1,724,267,802,508.67
  5. Step 5: Solve for x
    x = 1,724,267,802,508.67/875,409.19
  6. Step 6: Final answer
    x = 1,969,670.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.