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Finding the Third Proportional to 4,563,421 and 6,830,915

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Solution

The third proportional to 4,563,421 and 6,830,915 is: 10,225,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563,421 : 6,830,915 = 6,830,915 : x
  2. Step 2: Convert to fraction form
    4,563,421/6,830,915 = 6,830,915/x
  3. Step 3: Cross multiply
    4,563,421x = 6,830,915 × 6,830,915
  4. Step 4: Simplify right side
    4,563,421x = 46,661,399,737,225
  5. Step 5: Solve for x
    x = 46,661,399,737,225/4,563,421
  6. Step 6: Final answer
    x = 10,225,092.04

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