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Finding the Third Proportional to 924,345 and 2,000,322

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Solution

The third proportional to 924,345 and 2,000,322 is: 4,328,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,345 : 2,000,322 = 2,000,322 : x
  2. Step 2: Convert to fraction form
    924,345/2,000,322 = 2,000,322/x
  3. Step 3: Cross multiply
    924,345x = 2,000,322 × 2,000,322
  4. Step 4: Simplify right side
    924,345x = 4,001,288,103,684
  5. Step 5: Solve for x
    x = 4,001,288,103,684/924,345
  6. Step 6: Final answer
    x = 4,328,782.11

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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.