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Finding the Third Proportional to 865,496 and 1,331,148

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Solution

The third proportional to 865,496 and 1,331,148 is: 2,047,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,496 : 1,331,148 = 1,331,148 : x
  2. Step 2: Convert to fraction form
    865,496/1,331,148 = 1,331,148/x
  3. Step 3: Cross multiply
    865,496x = 1,331,148 × 1,331,148
  4. Step 4: Simplify right side
    865,496x = 1,771,954,997,904
  5. Step 5: Solve for x
    x = 1,771,954,997,904/865,496
  6. Step 6: Final answer
    x = 2,047,328.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.