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Finding the Third Proportional to 429,073 and 924,595

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Solution

The third proportional to 429,073 and 924,595 is: 1,992,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,073 : 924,595 = 924,595 : x
  2. Step 2: Convert to fraction form
    429,073/924,595 = 924,595/x
  3. Step 3: Cross multiply
    429,073x = 924,595 × 924,595
  4. Step 4: Simplify right side
    429,073x = 854,875,914,025
  5. Step 5: Solve for x
    x = 854,875,914,025/429,073
  6. Step 6: Final answer
    x = 1,992,378.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.