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Finding the Third Proportional to 802,648.69 and 1,177,364.53

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Solution

The third proportional to 802,648.69 and 1,177,364.53 is: 1,727,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,648.69 : 1,177,364.53 = 1,177,364.53 : x
  2. Step 2: Convert to fraction form
    802,648.69/1,177,364.53 = 1,177,364.53/x
  3. Step 3: Cross multiply
    802,648.69x = 1,177,364.53 × 1,177,364.53
  4. Step 4: Simplify right side
    802,648.69x = 1,386,187,239,445.53
  5. Step 5: Solve for x
    x = 1,386,187,239,445.53/802,648.69
  6. Step 6: Final answer
    x = 1,727,016.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.