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Finding the Third Proportional to 585,093,420 and 1,218,614,688

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Solution

The third proportional to 585,093,420 and 1,218,614,688 is: 2,538,093,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,093,420 : 1,218,614,688 = 1,218,614,688 : x
  2. Step 2: Convert to fraction form
    585,093,420/1,218,614,688 = 1,218,614,688/x
  3. Step 3: Cross multiply
    585,093,420x = 1,218,614,688 × 1,218,614,688
  4. Step 4: Simplify right side
    585,093,420x = 1,485,021,757,809,337,344
  5. Step 5: Solve for x
    x = 1,485,021,757,809,337,344/585,093,420
  6. Step 6: Final answer
    x = 2,538,093,417.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.