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Finding the Third Proportional to 2,564,460 and 6,033,735

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Solution

The third proportional to 2,564,460 and 6,033,735 is: 14,196,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,460 : 6,033,735 = 6,033,735 : x
  2. Step 2: Convert to fraction form
    2,564,460/6,033,735 = 6,033,735/x
  3. Step 3: Cross multiply
    2,564,460x = 6,033,735 × 6,033,735
  4. Step 4: Simplify right side
    2,564,460x = 36,405,958,050,225
  5. Step 5: Solve for x
    x = 36,405,958,050,225/2,564,460
  6. Step 6: Final answer
    x = 14,196,344.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.