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Finding the Third Proportional to 475,444 and 1,036,184

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Solution

The third proportional to 475,444 and 1,036,184 is: 2,258,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,444 : 1,036,184 = 1,036,184 : x
  2. Step 2: Convert to fraction form
    475,444/1,036,184 = 1,036,184/x
  3. Step 3: Cross multiply
    475,444x = 1,036,184 × 1,036,184
  4. Step 4: Simplify right side
    475,444x = 1,073,677,281,856
  5. Step 5: Solve for x
    x = 1,073,677,281,856/475,444
  6. Step 6: Final answer
    x = 2,258,262.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.