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Finding the Third Proportional to 473,301 and 1,029,530

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Solution

The third proportional to 473,301 and 1,029,530 is: 2,239,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,301 : 1,029,530 = 1,029,530 : x
  2. Step 2: Convert to fraction form
    473,301/1,029,530 = 1,029,530/x
  3. Step 3: Cross multiply
    473,301x = 1,029,530 × 1,029,530
  4. Step 4: Simplify right side
    473,301x = 1,059,932,020,900
  5. Step 5: Solve for x
    x = 1,059,932,020,900/473,301
  6. Step 6: Final answer
    x = 2,239,445.98

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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.