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Finding the Third Proportional to 983,424 and 2,145,572

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Solution

The third proportional to 983,424 and 2,145,572 is: 4,681,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,424 : 2,145,572 = 2,145,572 : x
  2. Step 2: Convert to fraction form
    983,424/2,145,572 = 2,145,572/x
  3. Step 3: Cross multiply
    983,424x = 2,145,572 × 2,145,572
  4. Step 4: Simplify right side
    983,424x = 4,603,479,207,184
  5. Step 5: Solve for x
    x = 4,603,479,207,184/983,424
  6. Step 6: Final answer
    x = 4,681,072.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.