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Finding the Third Proportional to 923,884 and 1,975,445

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Solution

The third proportional to 923,884 and 1,975,445 is: 4,223,888.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,884 : 1,975,445 = 1,975,445 : x
  2. Step 2: Convert to fraction form
    923,884/1,975,445 = 1,975,445/x
  3. Step 3: Cross multiply
    923,884x = 1,975,445 × 1,975,445
  4. Step 4: Simplify right side
    923,884x = 3,902,382,948,025
  5. Step 5: Solve for x
    x = 3,902,382,948,025/923,884
  6. Step 6: Final answer
    x = 4,223,888.44

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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.