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Finding the Third Proportional to 714,362 and 972,826

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Solution

The third proportional to 714,362 and 972,826 is: 1,324,805.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,362 : 972,826 = 972,826 : x
  2. Step 2: Convert to fraction form
    714,362/972,826 = 972,826/x
  3. Step 3: Cross multiply
    714,362x = 972,826 × 972,826
  4. Step 4: Simplify right side
    714,362x = 946,390,426,276
  5. Step 5: Solve for x
    x = 946,390,426,276/714,362
  6. Step 6: Final answer
    x = 1,324,805.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.