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Finding the Third Proportional to 2,563,083 and 3,604,803.75

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Solution

The third proportional to 2,563,083 and 3,604,803.75 is: 5,069,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,083 : 3,604,803.75 = 3,604,803.75 : x
  2. Step 2: Convert to fraction form
    2,563,083/3,604,803.75 = 3,604,803.75/x
  3. Step 3: Cross multiply
    2,563,083x = 3,604,803.75 × 3,604,803.75
  4. Step 4: Simplify right side
    2,563,083x = 12,994,610,076,014.06
  5. Step 5: Solve for x
    x = 12,994,610,076,014.06/2,563,083
  6. Step 6: Final answer
    x = 5,069,913.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.