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Finding the Third Proportional to 623,456 and 911,848

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Solution

The third proportional to 623,456 and 911,848 is: 1,333,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,456 : 911,848 = 911,848 : x
  2. Step 2: Convert to fraction form
    623,456/911,848 = 911,848/x
  3. Step 3: Cross multiply
    623,456x = 911,848 × 911,848
  4. Step 4: Simplify right side
    623,456x = 831,466,775,104
  5. Step 5: Solve for x
    x = 831,466,775,104/623,456
  6. Step 6: Final answer
    x = 1,333,641.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.