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Finding the Third Proportional to 429,706 and 927,740

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Solution

The third proportional to 429,706 and 927,740 is: 2,003,000.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,706 : 927,740 = 927,740 : x
  2. Step 2: Convert to fraction form
    429,706/927,740 = 927,740/x
  3. Step 3: Cross multiply
    429,706x = 927,740 × 927,740
  4. Step 4: Simplify right side
    429,706x = 860,701,507,600
  5. Step 5: Solve for x
    x = 860,701,507,600/429,706
  6. Step 6: Final answer
    x = 2,003,000.91

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Why These Related Problems?

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