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Finding the Third Proportional to 714,369 and 972,837

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Solution

The third proportional to 714,369 and 972,837 is: 1,324,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,369 : 972,837 = 972,837 : x
  2. Step 2: Convert to fraction form
    714,369/972,837 = 972,837/x
  3. Step 3: Cross multiply
    714,369x = 972,837 × 972,837
  4. Step 4: Simplify right side
    714,369x = 946,411,828,569
  5. Step 5: Solve for x
    x = 946,411,828,569/714,369
  6. Step 6: Final answer
    x = 1,324,822.09

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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.