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Finding the Third Proportional to 833,184 and 1,816,893

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Solution

The third proportional to 833,184 and 1,816,893 is: 3,962,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,184 : 1,816,893 = 1,816,893 : x
  2. Step 2: Convert to fraction form
    833,184/1,816,893 = 1,816,893/x
  3. Step 3: Cross multiply
    833,184x = 1,816,893 × 1,816,893
  4. Step 4: Simplify right side
    833,184x = 3,301,100,173,449
  5. Step 5: Solve for x
    x = 3,301,100,173,449/833,184
  6. Step 6: Final answer
    x = 3,962,030.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.