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Finding the Third Proportional to 599,148 and 1,303,272

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Solution

The third proportional to 599,148 and 1,303,272 is: 2,834,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,148 : 1,303,272 = 1,303,272 : x
  2. Step 2: Convert to fraction form
    599,148/1,303,272 = 1,303,272/x
  3. Step 3: Cross multiply
    599,148x = 1,303,272 × 1,303,272
  4. Step 4: Simplify right side
    599,148x = 1,698,517,905,984
  5. Step 5: Solve for x
    x = 1,698,517,905,984/599,148
  6. Step 6: Final answer
    x = 2,834,888.72

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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.