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Finding the Third Proportional to 557,336 and 922,094

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Solution

The third proportional to 557,336 and 922,094 is: 1,525,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,336 : 922,094 = 922,094 : x
  2. Step 2: Convert to fraction form
    557,336/922,094 = 922,094/x
  3. Step 3: Cross multiply
    557,336x = 922,094 × 922,094
  4. Step 4: Simplify right side
    557,336x = 850,257,344,836
  5. Step 5: Solve for x
    x = 850,257,344,836/557,336
  6. Step 6: Final answer
    x = 1,525,574.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.