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Finding the Third Proportional to 906,075,342 and 1,399,169,616

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Solution

The third proportional to 906,075,342 and 1,399,169,616 is: 2,160,610,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,075,342 : 1,399,169,616 = 1,399,169,616 : x
  2. Step 2: Convert to fraction form
    906,075,342/1,399,169,616 = 1,399,169,616/x
  3. Step 3: Cross multiply
    906,075,342x = 1,399,169,616 × 1,399,169,616
  4. Step 4: Simplify right side
    906,075,342x = 1,957,675,614,337,587,456
  5. Step 5: Solve for x
    x = 1,957,675,614,337,587,456/906,075,342
  6. Step 6: Final answer
    x = 2,160,610,187.25

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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.