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Finding the Third Proportional to 610,380 and 1,370,871

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Solution

The third proportional to 610,380 and 1,370,871 is: 3,078,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,380 : 1,370,871 = 1,370,871 : x
  2. Step 2: Convert to fraction form
    610,380/1,370,871 = 1,370,871/x
  3. Step 3: Cross multiply
    610,380x = 1,370,871 × 1,370,871
  4. Step 4: Simplify right side
    610,380x = 1,879,287,298,641
  5. Step 5: Solve for x
    x = 1,879,287,298,641/610,380
  6. Step 6: Final answer
    x = 3,078,880.86

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.