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Finding the Third Proportional to 495,675.74 and 1,085,802.54

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Solution

The third proportional to 495,675.74 and 1,085,802.54 is: 2,378,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,675.74 : 1,085,802.54 = 1,085,802.54 : x
  2. Step 2: Convert to fraction form
    495,675.74/1,085,802.54 = 1,085,802.54/x
  3. Step 3: Cross multiply
    495,675.74x = 1,085,802.54 × 1,085,802.54
  4. Step 4: Simplify right side
    495,675.74x = 1,178,967,153,834.57
  5. Step 5: Solve for x
    x = 1,178,967,153,834.57/495,675.74
  6. Step 6: Final answer
    x = 2,378,504.86

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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.