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Finding the Third Proportional to 429,074 and 924,597

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Solution

The third proportional to 429,074 and 924,597 is: 1,992,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,074 : 924,597 = 924,597 : x
  2. Step 2: Convert to fraction form
    429,074/924,597 = 924,597/x
  3. Step 3: Cross multiply
    429,074x = 924,597 × 924,597
  4. Step 4: Simplify right side
    429,074x = 854,879,612,409
  5. Step 5: Solve for x
    x = 854,879,612,409/429,074
  6. Step 6: Final answer
    x = 1,992,382.69

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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.