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Finding the Third Proportional to 902,696 and 1,402,261

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Solution

The third proportional to 902,696 and 1,402,261 is: 2,178,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,696 : 1,402,261 = 1,402,261 : x
  2. Step 2: Convert to fraction form
    902,696/1,402,261 = 1,402,261/x
  3. Step 3: Cross multiply
    902,696x = 1,402,261 × 1,402,261
  4. Step 4: Simplify right side
    902,696x = 1,966,335,912,121
  5. Step 5: Solve for x
    x = 1,966,335,912,121/902,696
  6. Step 6: Final answer
    x = 2,178,292.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.