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Finding the Third Proportional to 473,296 and 1,029,520

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Solution

The third proportional to 473,296 and 1,029,520 is: 2,239,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,296 : 1,029,520 = 1,029,520 : x
  2. Step 2: Convert to fraction form
    473,296/1,029,520 = 1,029,520/x
  3. Step 3: Cross multiply
    473,296x = 1,029,520 × 1,029,520
  4. Step 4: Simplify right side
    473,296x = 1,059,911,430,400
  5. Step 5: Solve for x
    x = 1,059,911,430,400/473,296
  6. Step 6: Final answer
    x = 2,239,426.13

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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.