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Finding the Third Proportional to 587,967 and 1,246,585.50

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Solution

The third proportional to 587,967 and 1,246,585.50 is: 2,642,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,967 : 1,246,585.50 = 1,246,585.50 : x
  2. Step 2: Convert to fraction form
    587,967/1,246,585.50 = 1,246,585.50/x
  3. Step 3: Cross multiply
    587,967x = 1,246,585.50 × 1,246,585.50
  4. Step 4: Simplify right side
    587,967x = 1,553,975,408,810.25
  5. Step 5: Solve for x
    x = 1,553,975,408,810.25/587,967
  6. Step 6: Final answer
    x = 2,642,963.65

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.