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Finding the Third Proportional to 583,670 and 1,278,056

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Solution

The third proportional to 583,670 and 1,278,056 is: 2,798,545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,670 : 1,278,056 = 1,278,056 : x
  2. Step 2: Convert to fraction form
    583,670/1,278,056 = 1,278,056/x
  3. Step 3: Cross multiply
    583,670x = 1,278,056 × 1,278,056
  4. Step 4: Simplify right side
    583,670x = 1,633,427,139,136
  5. Step 5: Solve for x
    x = 1,633,427,139,136/583,670
  6. Step 6: Final answer
    x = 2,798,545.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.