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Finding the Third Proportional to 902,332,192 and 1,359,472,304

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Solution

The third proportional to 902,332,192 and 1,359,472,304 is: 2,048,209,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,332,192 : 1,359,472,304 = 1,359,472,304 : x
  2. Step 2: Convert to fraction form
    902,332,192/1,359,472,304 = 1,359,472,304/x
  3. Step 3: Cross multiply
    902,332,192x = 1,359,472,304 × 1,359,472,304
  4. Step 4: Simplify right side
    902,332,192x = 1,848,164,945,343,068,416
  5. Step 5: Solve for x
    x = 1,848,164,945,343,068,416/902,332,192
  6. Step 6: Final answer
    x = 2,048,209,031.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.