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Finding the Third Proportional to 711,393 and 1,085,157

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Solution

The third proportional to 711,393 and 1,085,157 is: 1,655,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,393 : 1,085,157 = 1,085,157 : x
  2. Step 2: Convert to fraction form
    711,393/1,085,157 = 1,085,157/x
  3. Step 3: Cross multiply
    711,393x = 1,085,157 × 1,085,157
  4. Step 4: Simplify right side
    711,393x = 1,177,565,714,649
  5. Step 5: Solve for x
    x = 1,177,565,714,649/711,393
  6. Step 6: Final answer
    x = 1,655,295.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.