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Finding the Third Proportional to 594,802 and 847,863

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Solution

The third proportional to 594,802 and 847,863 is: 1,208,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,802 : 847,863 = 847,863 : x
  2. Step 2: Convert to fraction form
    594,802/847,863 = 847,863/x
  3. Step 3: Cross multiply
    594,802x = 847,863 × 847,863
  4. Step 4: Simplify right side
    594,802x = 718,871,666,769
  5. Step 5: Solve for x
    x = 718,871,666,769/594,802
  6. Step 6: Final answer
    x = 1,208,589.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.