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Finding the Third Proportional to 2,807,840 and 4,106,456

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Solution

The third proportional to 2,807,840 and 4,106,456 is: 6,005,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807,840 : 4,106,456 = 4,106,456 : x
  2. Step 2: Convert to fraction form
    2,807,840/4,106,456 = 4,106,456/x
  3. Step 3: Cross multiply
    2,807,840x = 4,106,456 × 4,106,456
  4. Step 4: Simplify right side
    2,807,840x = 16,862,980,879,936
  5. Step 5: Solve for x
    x = 16,862,980,879,936/2,807,840
  6. Step 6: Final answer
    x = 6,005,677.28

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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.