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Finding the Third Proportional to 494,262 and 1,070,946.56

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Solution

The third proportional to 494,262 and 1,070,946.56 is: 2,320,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,262 : 1,070,946.56 = 1,070,946.56 : x
  2. Step 2: Convert to fraction form
    494,262/1,070,946.56 = 1,070,946.56/x
  3. Step 3: Cross multiply
    494,262x = 1,070,946.56 × 1,070,946.56
  4. Step 4: Simplify right side
    494,262x = 1,146,926,539,730.57
  5. Step 5: Solve for x
    x = 1,146,926,539,730.57/494,262
  6. Step 6: Final answer
    x = 2,320,482.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.