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Finding the Third Proportional to 474,054 and 1,036,786

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Solution

The third proportional to 474,054 and 1,036,786 is: 2,267,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,054 : 1,036,786 = 1,036,786 : x
  2. Step 2: Convert to fraction form
    474,054/1,036,786 = 1,036,786/x
  3. Step 3: Cross multiply
    474,054x = 1,036,786 × 1,036,786
  4. Step 4: Simplify right side
    474,054x = 1,074,925,209,796
  5. Step 5: Solve for x
    x = 1,074,925,209,796/474,054
  6. Step 6: Final answer
    x = 2,267,516.38

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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.