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Finding the Third Proportional to 469,608 and 915,696

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Solution

The third proportional to 469,608 and 915,696 is: 1,785,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,608 : 915,696 = 915,696 : x
  2. Step 2: Convert to fraction form
    469,608/915,696 = 915,696/x
  3. Step 3: Cross multiply
    469,608x = 915,696 × 915,696
  4. Step 4: Simplify right side
    469,608x = 838,499,164,416
  5. Step 5: Solve for x
    x = 838,499,164,416/469,608
  6. Step 6: Final answer
    x = 1,785,529.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.