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Finding the Third Proportional to 5,709,212 and 8,349,456

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Solution

The third proportional to 5,709,212 and 8,349,456 is: 12,210,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,212 : 8,349,456 = 8,349,456 : x
  2. Step 2: Convert to fraction form
    5,709,212/8,349,456 = 8,349,456/x
  3. Step 3: Cross multiply
    5,709,212x = 8,349,456 × 8,349,456
  4. Step 4: Simplify right side
    5,709,212x = 69,713,415,495,936
  5. Step 5: Solve for x
    x = 69,713,415,495,936/5,709,212
  6. Step 6: Final answer
    x = 12,210,689.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.