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Finding the Third Proportional to 588,448 and 1,259,840

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Solution

The third proportional to 588,448 and 1,259,840 is: 2,697,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,448 : 1,259,840 = 1,259,840 : x
  2. Step 2: Convert to fraction form
    588,448/1,259,840 = 1,259,840/x
  3. Step 3: Cross multiply
    588,448x = 1,259,840 × 1,259,840
  4. Step 4: Simplify right side
    588,448x = 1,587,196,825,600
  5. Step 5: Solve for x
    x = 1,587,196,825,600/588,448
  6. Step 6: Final answer
    x = 2,697,259.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.