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Finding the Third Proportional to 901,585,108 and 1,359,472,712

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Solution

The third proportional to 901,585,108 and 1,359,472,712 is: 2,049,907,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,585,108 : 1,359,472,712 = 1,359,472,712 : x
  2. Step 2: Convert to fraction form
    901,585,108/1,359,472,712 = 1,359,472,712/x
  3. Step 3: Cross multiply
    901,585,108x = 1,359,472,712 × 1,359,472,712
  4. Step 4: Simplify right side
    901,585,108x = 1,848,166,054,672,634,880
  5. Step 5: Solve for x
    x = 1,848,166,054,672,634,880/901,585,108
  6. Step 6: Final answer
    x = 2,049,907,477.70

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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.