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Finding the Third Proportional to 906,087,786 and 1,397,915,520

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Solution

The third proportional to 906,087,786 and 1,397,915,520 is: 2,156,709,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,087,786 : 1,397,915,520 = 1,397,915,520 : x
  2. Step 2: Convert to fraction form
    906,087,786/1,397,915,520 = 1,397,915,520/x
  3. Step 3: Cross multiply
    906,087,786x = 1,397,915,520 × 1,397,915,520
  4. Step 4: Simplify right side
    906,087,786x = 1,954,167,801,056,870,400
  5. Step 5: Solve for x
    x = 1,954,167,801,056,870,400/906,087,786
  6. Step 6: Final answer
    x = 2,156,709,130.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.