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Finding the Third Proportional to 597,875,505.75 and 1,304,543,880

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Solution

The third proportional to 597,875,505.75 and 1,304,543,880 is: 2,846,470,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,875,505.75 : 1,304,543,880 = 1,304,543,880 : x
  2. Step 2: Convert to fraction form
    597,875,505.75/1,304,543,880 = 1,304,543,880/x
  3. Step 3: Cross multiply
    597,875,505.75x = 1,304,543,880 × 1,304,543,880
  4. Step 4: Simplify right side
    597,875,505.75x = 1,701,834,734,845,454,336
  5. Step 5: Solve for x
    x = 1,701,834,734,845,454,336/597,875,505.75
  6. Step 6: Final answer
    x = 2,846,470,073.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.