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Finding the Third Proportional to 2,583,240 and 5,631,498

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Solution

The third proportional to 2,583,240 and 5,631,498 is: 12,276,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583,240 : 5,631,498 = 5,631,498 : x
  2. Step 2: Convert to fraction form
    2,583,240/5,631,498 = 5,631,498/x
  3. Step 3: Cross multiply
    2,583,240x = 5,631,498 × 5,631,498
  4. Step 4: Simplify right side
    2,583,240x = 31,713,769,724,004
  5. Step 5: Solve for x
    x = 31,713,769,724,004/2,583,240
  6. Step 6: Final answer
    x = 12,276,741.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.