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Finding the Third Proportional to 429,411 and 934,962

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Solution

The third proportional to 429,411 and 934,962 is: 2,035,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,411 : 934,962 = 934,962 : x
  2. Step 2: Convert to fraction form
    429,411/934,962 = 934,962/x
  3. Step 3: Cross multiply
    429,411x = 934,962 × 934,962
  4. Step 4: Simplify right side
    429,411x = 874,153,941,444
  5. Step 5: Solve for x
    x = 874,153,941,444/429,411
  6. Step 6: Final answer
    x = 2,035,704.58

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Why These Related Problems?

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