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Finding the Third Proportional to 595,938 and 1,293,470

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Solution

The third proportional to 595,938 and 1,293,470 is: 2,807,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,938 : 1,293,470 = 1,293,470 : x
  2. Step 2: Convert to fraction form
    595,938/1,293,470 = 1,293,470/x
  3. Step 3: Cross multiply
    595,938x = 1,293,470 × 1,293,470
  4. Step 4: Simplify right side
    595,938x = 1,673,064,640,900
  5. Step 5: Solve for x
    x = 1,673,064,640,900/595,938
  6. Step 6: Final answer
    x = 2,807,447.49

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