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Finding the Third Proportional to 583,559,910 and 1,260,294,426

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Solution

The third proportional to 583,559,910 and 1,260,294,426 is: 2,721,814,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,559,910 : 1,260,294,426 = 1,260,294,426 : x
  2. Step 2: Convert to fraction form
    583,559,910/1,260,294,426 = 1,260,294,426/x
  3. Step 3: Cross multiply
    583,559,910x = 1,260,294,426 × 1,260,294,426
  4. Step 4: Simplify right side
    583,559,910x = 1,588,342,040,206,669,568
  5. Step 5: Solve for x
    x = 1,588,342,040,206,669,568/583,559,910
  6. Step 6: Final answer
    x = 2,721,814,869.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.