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Finding the Third Proportional to 594,800 and 1,218,592

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Solution

The third proportional to 594,800 and 1,218,592 is: 2,496,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,800 : 1,218,592 = 1,218,592 : x
  2. Step 2: Convert to fraction form
    594,800/1,218,592 = 1,218,592/x
  3. Step 3: Cross multiply
    594,800x = 1,218,592 × 1,218,592
  4. Step 4: Simplify right side
    594,800x = 1,484,966,462,464
  5. Step 5: Solve for x
    x = 1,484,966,462,464/594,800
  6. Step 6: Final answer
    x = 2,496,581.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.