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Finding the Third Proportional to 945,362 and 1,429,296

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Solution

The third proportional to 945,362 and 1,429,296 is: 2,160,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,362 : 1,429,296 = 1,429,296 : x
  2. Step 2: Convert to fraction form
    945,362/1,429,296 = 1,429,296/x
  3. Step 3: Cross multiply
    945,362x = 1,429,296 × 1,429,296
  4. Step 4: Simplify right side
    945,362x = 2,042,887,055,616
  5. Step 5: Solve for x
    x = 2,042,887,055,616/945,362
  6. Step 6: Final answer
    x = 2,160,957.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.