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Finding the Third Proportional to 833,138 and 1,725,352

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Solution

The third proportional to 833,138 and 1,725,352 is: 3,573,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,138 : 1,725,352 = 1,725,352 : x
  2. Step 2: Convert to fraction form
    833,138/1,725,352 = 1,725,352/x
  3. Step 3: Cross multiply
    833,138x = 1,725,352 × 1,725,352
  4. Step 4: Simplify right side
    833,138x = 2,976,839,523,904
  5. Step 5: Solve for x
    x = 2,976,839,523,904/833,138
  6. Step 6: Final answer
    x = 3,573,044.95

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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.