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Finding the Third Proportional to 646,878 and 926,280

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Solution

The third proportional to 646,878 and 926,280 is: 1,326,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,878 : 926,280 = 926,280 : x
  2. Step 2: Convert to fraction form
    646,878/926,280 = 926,280/x
  3. Step 3: Cross multiply
    646,878x = 926,280 × 926,280
  4. Step 4: Simplify right side
    646,878x = 857,994,638,400
  5. Step 5: Solve for x
    x = 857,994,638,400/646,878
  6. Step 6: Final answer
    x = 1,326,362.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.