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Finding the Third Proportional to 597,312 and 1,312,722

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Solution

The third proportional to 597,312 and 1,312,722 is: 2,884,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,312 : 1,312,722 = 1,312,722 : x
  2. Step 2: Convert to fraction form
    597,312/1,312,722 = 1,312,722/x
  3. Step 3: Cross multiply
    597,312x = 1,312,722 × 1,312,722
  4. Step 4: Simplify right side
    597,312x = 1,723,239,049,284
  5. Step 5: Solve for x
    x = 1,723,239,049,284/597,312
  6. Step 6: Final answer
    x = 2,884,989.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.