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Finding the Third Proportional to 586,592,385 and 1,274,075,546

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Solution

The third proportional to 586,592,385 and 1,274,075,546 is: 2,767,285,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,592,385 : 1,274,075,546 = 1,274,075,546 : x
  2. Step 2: Convert to fraction form
    586,592,385/1,274,075,546 = 1,274,075,546/x
  3. Step 3: Cross multiply
    586,592,385x = 1,274,075,546 × 1,274,075,546
  4. Step 4: Simplify right side
    586,592,385x = 1,623,268,496,915,198,208
  5. Step 5: Solve for x
    x = 1,623,268,496,915,198,208/586,592,385
  6. Step 6: Final answer
    x = 2,767,285,321.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.