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Finding the Third Proportional to 595,705 and 1,305,127

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Solution

The third proportional to 595,705 and 1,305,127 is: 2,859,395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,705 : 1,305,127 = 1,305,127 : x
  2. Step 2: Convert to fraction form
    595,705/1,305,127 = 1,305,127/x
  3. Step 3: Cross multiply
    595,705x = 1,305,127 × 1,305,127
  4. Step 4: Simplify right side
    595,705x = 1,703,356,486,129
  5. Step 5: Solve for x
    x = 1,703,356,486,129/595,705
  6. Step 6: Final answer
    x = 2,859,395.99

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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.