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Finding the Third Proportional to 424,674 and 924,276

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Solution

The third proportional to 424,674 and 924,276 is: 2,011,628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,674 : 924,276 = 924,276 : x
  2. Step 2: Convert to fraction form
    424,674/924,276 = 924,276/x
  3. Step 3: Cross multiply
    424,674x = 924,276 × 924,276
  4. Step 4: Simplify right side
    424,674x = 854,286,124,176
  5. Step 5: Solve for x
    x = 854,286,124,176/424,674
  6. Step 6: Final answer
    x = 2,011,628.04

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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.