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Finding the Third Proportional to 434,454 and 921,348

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Solution

The third proportional to 434,454 and 921,348 is: 1,953,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,454 : 921,348 = 921,348 : x
  2. Step 2: Convert to fraction form
    434,454/921,348 = 921,348/x
  3. Step 3: Cross multiply
    434,454x = 921,348 × 921,348
  4. Step 4: Simplify right side
    434,454x = 848,882,137,104
  5. Step 5: Solve for x
    x = 848,882,137,104/434,454
  6. Step 6: Final answer
    x = 1,953,905.68

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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.