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Finding the Third Proportional to 590,700 and 1,295,826

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Solution

The third proportional to 590,700 and 1,295,826 is: 2,842,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,700 : 1,295,826 = 1,295,826 : x
  2. Step 2: Convert to fraction form
    590,700/1,295,826 = 1,295,826/x
  3. Step 3: Cross multiply
    590,700x = 1,295,826 × 1,295,826
  4. Step 4: Simplify right side
    590,700x = 1,679,165,022,276
  5. Step 5: Solve for x
    x = 1,679,165,022,276/590,700
  6. Step 6: Final answer
    x = 2,842,669.75

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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.