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Finding the Third Proportional to 902,259,302 and 1,435,671,888

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Solution

The third proportional to 902,259,302 and 1,435,671,888 is: 2,284,436,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,259,302 : 1,435,671,888 = 1,435,671,888 : x
  2. Step 2: Convert to fraction form
    902,259,302/1,435,671,888 = 1,435,671,888/x
  3. Step 3: Cross multiply
    902,259,302x = 1,435,671,888 × 1,435,671,888
  4. Step 4: Simplify right side
    902,259,302x = 2,061,153,769,993,484,544
  5. Step 5: Solve for x
    x = 2,061,153,769,993,484,544/902,259,302
  6. Step 6: Final answer
    x = 2,284,436,154.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.