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Finding the Third Proportional to 692,846,974 and 1,434,805,201

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Solution

The third proportional to 692,846,974 and 1,434,805,201 is: 2,971,314,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,846,974 : 1,434,805,201 = 1,434,805,201 : x
  2. Step 2: Convert to fraction form
    692,846,974/1,434,805,201 = 1,434,805,201/x
  3. Step 3: Cross multiply
    692,846,974x = 1,434,805,201 × 1,434,805,201
  4. Step 4: Simplify right side
    692,846,974x = 2,058,665,964,816,650,496
  5. Step 5: Solve for x
    x = 2,058,665,964,816,650,496/692,846,974
  6. Step 6: Final answer
    x = 2,971,314,073.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.