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Finding the Third Proportional to 589,065 and 1,221,843

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Solution

The third proportional to 589,065 and 1,221,843 is: 2,534,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,065 : 1,221,843 = 1,221,843 : x
  2. Step 2: Convert to fraction form
    589,065/1,221,843 = 1,221,843/x
  3. Step 3: Cross multiply
    589,065x = 1,221,843 × 1,221,843
  4. Step 4: Simplify right side
    589,065x = 1,492,900,316,649
  5. Step 5: Solve for x
    x = 1,492,900,316,649/589,065
  6. Step 6: Final answer
    x = 2,534,355.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.