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Finding the Third Proportional to 4,052,706 and 6,417,315

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Solution

The third proportional to 4,052,706 and 6,417,315 is: 10,161,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052,706 : 6,417,315 = 6,417,315 : x
  2. Step 2: Convert to fraction form
    4,052,706/6,417,315 = 6,417,315/x
  3. Step 3: Cross multiply
    4,052,706x = 6,417,315 × 6,417,315
  4. Step 4: Simplify right side
    4,052,706x = 41,181,931,809,225
  5. Step 5: Solve for x
    x = 41,181,931,809,225/4,052,706
  6. Step 6: Final answer
    x = 10,161,588.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.