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Finding the Third Proportional to 623,824 and 1,351,328

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Solution

The third proportional to 623,824 and 1,351,328 is: 2,927,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,824 : 1,351,328 = 1,351,328 : x
  2. Step 2: Convert to fraction form
    623,824/1,351,328 = 1,351,328/x
  3. Step 3: Cross multiply
    623,824x = 1,351,328 × 1,351,328
  4. Step 4: Simplify right side
    623,824x = 1,826,087,363,584
  5. Step 5: Solve for x
    x = 1,826,087,363,584/623,824
  6. Step 6: Final answer
    x = 2,927,247.69

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