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Finding the Third Proportional to 421,218 and 924,084

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Solution

The third proportional to 421,218 and 924,084 is: 2,027,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,218 : 924,084 = 924,084 : x
  2. Step 2: Convert to fraction form
    421,218/924,084 = 924,084/x
  3. Step 3: Cross multiply
    421,218x = 924,084 × 924,084
  4. Step 4: Simplify right side
    421,218x = 853,931,239,056
  5. Step 5: Solve for x
    x = 853,931,239,056/421,218
  6. Step 6: Final answer
    x = 2,027,290.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.