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Finding the Third Proportional to 476,856 and 1,031,148

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Solution

The third proportional to 476,856 and 1,031,148 is: 2,229,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,856 : 1,031,148 = 1,031,148 : x
  2. Step 2: Convert to fraction form
    476,856/1,031,148 = 1,031,148/x
  3. Step 3: Cross multiply
    476,856x = 1,031,148 × 1,031,148
  4. Step 4: Simplify right side
    476,856x = 1,063,266,197,904
  5. Step 5: Solve for x
    x = 1,063,266,197,904/476,856
  6. Step 6: Final answer
    x = 2,229,742.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.