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Finding the Third Proportional to 1,147,220 and 1,822,072

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Solution

The third proportional to 1,147,220 and 1,822,072 is: 2,893,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,220 : 1,822,072 = 1,822,072 : x
  2. Step 2: Convert to fraction form
    1,147,220/1,822,072 = 1,822,072/x
  3. Step 3: Cross multiply
    1,147,220x = 1,822,072 × 1,822,072
  4. Step 4: Simplify right side
    1,147,220x = 3,319,946,373,184
  5. Step 5: Solve for x
    x = 3,319,946,373,184/1,147,220
  6. Step 6: Final answer
    x = 2,893,905.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.