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Finding the Third Proportional to 830,963 and 1,836,306

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Solution

The third proportional to 830,963 and 1,836,306 is: 4,057,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,963 : 1,836,306 = 1,836,306 : x
  2. Step 2: Convert to fraction form
    830,963/1,836,306 = 1,836,306/x
  3. Step 3: Cross multiply
    830,963x = 1,836,306 × 1,836,306
  4. Step 4: Simplify right side
    830,963x = 3,372,019,725,636
  5. Step 5: Solve for x
    x = 3,372,019,725,636/830,963
  6. Step 6: Final answer
    x = 4,057,966.15

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.