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Finding the Third Proportional to 623,083 and 1,361,480

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Solution

The third proportional to 623,083 and 1,361,480 is: 2,974,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,083 : 1,361,480 = 1,361,480 : x
  2. Step 2: Convert to fraction form
    623,083/1,361,480 = 1,361,480/x
  3. Step 3: Cross multiply
    623,083x = 1,361,480 × 1,361,480
  4. Step 4: Simplify right side
    623,083x = 1,853,627,790,400
  5. Step 5: Solve for x
    x = 1,853,627,790,400/623,083
  6. Step 6: Final answer
    x = 2,974,929.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.