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Finding the Third Proportional to 589,528 and 1,273,186

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Solution

The third proportional to 589,528 and 1,273,186 is: 2,749,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,528 : 1,273,186 = 1,273,186 : x
  2. Step 2: Convert to fraction form
    589,528/1,273,186 = 1,273,186/x
  3. Step 3: Cross multiply
    589,528x = 1,273,186 × 1,273,186
  4. Step 4: Simplify right side
    589,528x = 1,621,002,590,596
  5. Step 5: Solve for x
    x = 1,621,002,590,596/589,528
  6. Step 6: Final answer
    x = 2,749,661.75

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