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Finding the Third Proportional to 2,563,732 and 4,021,590

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Solution

The third proportional to 2,563,732 and 4,021,590 is: 6,308,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,732 : 4,021,590 = 4,021,590 : x
  2. Step 2: Convert to fraction form
    2,563,732/4,021,590 = 4,021,590/x
  3. Step 3: Cross multiply
    2,563,732x = 4,021,590 × 4,021,590
  4. Step 4: Simplify right side
    2,563,732x = 16,173,186,128,100
  5. Step 5: Solve for x
    x = 16,173,186,128,100/2,563,732
  6. Step 6: Final answer
    x = 6,308,454.29

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.