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Finding the Third Proportional to 4,674,178 and 6,992,591

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Solution

The third proportional to 4,674,178 and 6,992,591 is: 10,460,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,178 : 6,992,591 = 6,992,591 : x
  2. Step 2: Convert to fraction form
    4,674,178/6,992,591 = 6,992,591/x
  3. Step 3: Cross multiply
    4,674,178x = 6,992,591 × 6,992,591
  4. Step 4: Simplify right side
    4,674,178x = 48,896,328,893,281
  5. Step 5: Solve for x
    x = 48,896,328,893,281/4,674,178
  6. Step 6: Final answer
    x = 10,460,947.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.