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Finding the Third Proportional to 946,592 and 2,059,040

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Solution

The third proportional to 946,592 and 2,059,040 is: 4,478,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,592 : 2,059,040 = 2,059,040 : x
  2. Step 2: Convert to fraction form
    946,592/2,059,040 = 2,059,040/x
  3. Step 3: Cross multiply
    946,592x = 2,059,040 × 2,059,040
  4. Step 4: Simplify right side
    946,592x = 4,239,645,721,600
  5. Step 5: Solve for x
    x = 4,239,645,721,600/946,592
  6. Step 6: Final answer
    x = 4,478,852.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.