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Finding the Third Proportional to 592,788 and 1,298,004

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Solution

The third proportional to 592,788 and 1,298,004 is: 2,842,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,788 : 1,298,004 = 1,298,004 : x
  2. Step 2: Convert to fraction form
    592,788/1,298,004 = 1,298,004/x
  3. Step 3: Cross multiply
    592,788x = 1,298,004 × 1,298,004
  4. Step 4: Simplify right side
    592,788x = 1,684,814,384,016
  5. Step 5: Solve for x
    x = 1,684,814,384,016/592,788
  6. Step 6: Final answer
    x = 2,842,187.06

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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.