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Finding the Third Proportional to 498,894 and 1,094,368

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Solution

The third proportional to 498,894 and 1,094,368 is: 2,400,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,894 : 1,094,368 = 1,094,368 : x
  2. Step 2: Convert to fraction form
    498,894/1,094,368 = 1,094,368/x
  3. Step 3: Cross multiply
    498,894x = 1,094,368 × 1,094,368
  4. Step 4: Simplify right side
    498,894x = 1,197,641,319,424
  5. Step 5: Solve for x
    x = 1,197,641,319,424/498,894
  6. Step 6: Final answer
    x = 2,400,592.75

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