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Finding the Third Proportional to 633,582 and 1,289,173.50

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Solution

The third proportional to 633,582 and 1,289,173.50 is: 2,623,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,582 : 1,289,173.50 = 1,289,173.50 : x
  2. Step 2: Convert to fraction form
    633,582/1,289,173.50 = 1,289,173.50/x
  3. Step 3: Cross multiply
    633,582x = 1,289,173.50 × 1,289,173.50
  4. Step 4: Simplify right side
    633,582x = 1,661,968,313,102.25
  5. Step 5: Solve for x
    x = 1,661,968,313,102.25/633,582
  6. Step 6: Final answer
    x = 2,623,130.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.