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Finding the Third Proportional to 592,790 and 1,298,008

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Solution

The third proportional to 592,790 and 1,298,008 is: 2,842,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,790 : 1,298,008 = 1,298,008 : x
  2. Step 2: Convert to fraction form
    592,790/1,298,008 = 1,298,008/x
  3. Step 3: Cross multiply
    592,790x = 1,298,008 × 1,298,008
  4. Step 4: Simplify right side
    592,790x = 1,684,824,768,064
  5. Step 5: Solve for x
    x = 1,684,824,768,064/592,790
  6. Step 6: Final answer
    x = 2,842,194.99

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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.