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Finding the Third Proportional to 923,881 and 1,975,442

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Solution

The third proportional to 923,881 and 1,975,442 is: 4,223,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,881 : 1,975,442 = 1,975,442 : x
  2. Step 2: Convert to fraction form
    923,881/1,975,442 = 1,975,442/x
  3. Step 3: Cross multiply
    923,881x = 1,975,442 × 1,975,442
  4. Step 4: Simplify right side
    923,881x = 3,902,371,095,364
  5. Step 5: Solve for x
    x = 3,902,371,095,364/923,881
  6. Step 6: Final answer
    x = 4,223,889.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.