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Finding the Third Proportional to 387,111 and 833,547

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Solution

The third proportional to 387,111 and 833,547 is: 1,794,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,111 : 833,547 = 833,547 : x
  2. Step 2: Convert to fraction form
    387,111/833,547 = 833,547/x
  3. Step 3: Cross multiply
    387,111x = 833,547 × 833,547
  4. Step 4: Simplify right side
    387,111x = 694,800,601,209
  5. Step 5: Solve for x
    x = 694,800,601,209/387,111
  6. Step 6: Final answer
    x = 1,794,835.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.