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Finding the Third Proportional to 833,232 and 1,784,562

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Solution

The third proportional to 833,232 and 1,784,562 is: 3,822,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,232 : 1,784,562 = 1,784,562 : x
  2. Step 2: Convert to fraction form
    833,232/1,784,562 = 1,784,562/x
  3. Step 3: Cross multiply
    833,232x = 1,784,562 × 1,784,562
  4. Step 4: Simplify right side
    833,232x = 3,184,661,531,844
  5. Step 5: Solve for x
    x = 3,184,661,531,844/833,232
  6. Step 6: Final answer
    x = 3,822,058.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.