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Finding the Third Proportional to 434,456 and 921,352

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Solution

The third proportional to 434,456 and 921,352 is: 1,953,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,456 : 921,352 = 921,352 : x
  2. Step 2: Convert to fraction form
    434,456/921,352 = 921,352/x
  3. Step 3: Cross multiply
    434,456x = 921,352 × 921,352
  4. Step 4: Simplify right side
    434,456x = 848,889,507,904
  5. Step 5: Solve for x
    x = 848,889,507,904/434,456
  6. Step 6: Final answer
    x = 1,953,913.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.