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Finding the Third Proportional to 2,031,216 and 4,325,616

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Solution

The third proportional to 2,031,216 and 4,325,616 is: 9,211,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,216 : 4,325,616 = 4,325,616 : x
  2. Step 2: Convert to fraction form
    2,031,216/4,325,616 = 4,325,616/x
  3. Step 3: Cross multiply
    2,031,216x = 4,325,616 × 4,325,616
  4. Step 4: Simplify right side
    2,031,216x = 18,710,953,779,456
  5. Step 5: Solve for x
    x = 18,710,953,779,456/2,031,216
  6. Step 6: Final answer
    x = 9,211,700.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.