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Finding the Third Proportional to 495,440 and 1,054,816

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Solution

The third proportional to 495,440 and 1,054,816 is: 2,245,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,440 : 1,054,816 = 1,054,816 : x
  2. Step 2: Convert to fraction form
    495,440/1,054,816 = 1,054,816/x
  3. Step 3: Cross multiply
    495,440x = 1,054,816 × 1,054,816
  4. Step 4: Simplify right side
    495,440x = 1,112,636,793,856
  5. Step 5: Solve for x
    x = 1,112,636,793,856/495,440
  6. Step 6: Final answer
    x = 2,245,754.87

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.