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Finding the Third Proportional to 759,258,240 and 1,183,277,392

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Solution

The third proportional to 759,258,240 and 1,183,277,392 is: 1,844,096,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,258,240 : 1,183,277,392 = 1,183,277,392 : x
  2. Step 2: Convert to fraction form
    759,258,240/1,183,277,392 = 1,183,277,392/x
  3. Step 3: Cross multiply
    759,258,240x = 1,183,277,392 × 1,183,277,392
  4. Step 4: Simplify right side
    759,258,240x = 1,400,145,386,418,321,664
  5. Step 5: Solve for x
    x = 1,400,145,386,418,321,664/759,258,240
  6. Step 6: Final answer
    x = 1,844,096,399.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.