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Finding the Third Proportional to 551,754 and 1,190,578.50

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Solution

The third proportional to 551,754 and 1,190,578.50 is: 2,569,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,754 : 1,190,578.50 = 1,190,578.50 : x
  2. Step 2: Convert to fraction form
    551,754/1,190,578.50 = 1,190,578.50/x
  3. Step 3: Cross multiply
    551,754x = 1,190,578.50 × 1,190,578.50
  4. Step 4: Simplify right side
    551,754x = 1,417,477,164,662.25
  5. Step 5: Solve for x
    x = 1,417,477,164,662.25/551,754
  6. Step 6: Final answer
    x = 2,569,038.31

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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.