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Finding the Third Proportional to 654,318 and 1,411,744.50

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Solution

The third proportional to 654,318 and 1,411,744.50 is: 3,045,954.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,318 : 1,411,744.50 = 1,411,744.50 : x
  2. Step 2: Convert to fraction form
    654,318/1,411,744.50 = 1,411,744.50/x
  3. Step 3: Cross multiply
    654,318x = 1,411,744.50 × 1,411,744.50
  4. Step 4: Simplify right side
    654,318x = 1,993,022,533,280.25
  5. Step 5: Solve for x
    x = 1,993,022,533,280.25/654,318
  6. Step 6: Final answer
    x = 3,045,954.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.