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Finding the Third Proportional to 476,403 and 1,046,127

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Solution

The third proportional to 476,403 and 1,046,127 is: 2,297,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,403 : 1,046,127 = 1,046,127 : x
  2. Step 2: Convert to fraction form
    476,403/1,046,127 = 1,046,127/x
  3. Step 3: Cross multiply
    476,403x = 1,046,127 × 1,046,127
  4. Step 4: Simplify right side
    476,403x = 1,094,381,700,129
  5. Step 5: Solve for x
    x = 1,094,381,700,129/476,403
  6. Step 6: Final answer
    x = 2,297,176.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.