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Finding the Third Proportional to 837,100 and 1,813,280

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Solution

The third proportional to 837,100 and 1,813,280 is: 3,927,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,100 : 1,813,280 = 1,813,280 : x
  2. Step 2: Convert to fraction form
    837,100/1,813,280 = 1,813,280/x
  3. Step 3: Cross multiply
    837,100x = 1,813,280 × 1,813,280
  4. Step 4: Simplify right side
    837,100x = 3,287,984,358,400
  5. Step 5: Solve for x
    x = 3,287,984,358,400/837,100
  6. Step 6: Final answer
    x = 3,927,827.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.