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Finding the Third Proportional to 473,786 and 1,036,142

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Solution

The third proportional to 473,786 and 1,036,142 is: 2,265,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,786 : 1,036,142 = 1,036,142 : x
  2. Step 2: Convert to fraction form
    473,786/1,036,142 = 1,036,142/x
  3. Step 3: Cross multiply
    473,786x = 1,036,142 × 1,036,142
  4. Step 4: Simplify right side
    473,786x = 1,073,590,244,164
  5. Step 5: Solve for x
    x = 1,073,590,244,164/473,786
  6. Step 6: Final answer
    x = 2,265,981.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.