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Finding the Third Proportional to 457,677 and 947,178

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Solution

The third proportional to 457,677 and 947,178 is: 1,960,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,677 : 947,178 = 947,178 : x
  2. Step 2: Convert to fraction form
    457,677/947,178 = 947,178/x
  3. Step 3: Cross multiply
    457,677x = 947,178 × 947,178
  4. Step 4: Simplify right side
    457,677x = 897,146,163,684
  5. Step 5: Solve for x
    x = 897,146,163,684/457,677
  6. Step 6: Final answer
    x = 1,960,216.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.