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Finding the Third Proportional to 345,261,314 and 739,769,440

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Solution

The third proportional to 345,261,314 and 739,769,440 is: 1,585,056,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,261,314 : 739,769,440 = 739,769,440 : x
  2. Step 2: Convert to fraction form
    345,261,314/739,769,440 = 739,769,440/x
  3. Step 3: Cross multiply
    345,261,314x = 739,769,440 × 739,769,440
  4. Step 4: Simplify right side
    345,261,314x = 547,258,824,357,913,600
  5. Step 5: Solve for x
    x = 547,258,824,357,913,600/345,261,314
  6. Step 6: Final answer
    x = 1,585,056,889.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.