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Finding the Third Proportional to 712,683 and 1,584,733.50

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Solution

The third proportional to 712,683 and 1,584,733.50 is: 3,523,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,683 : 1,584,733.50 = 1,584,733.50 : x
  2. Step 2: Convert to fraction form
    712,683/1,584,733.50 = 1,584,733.50/x
  3. Step 3: Cross multiply
    712,683x = 1,584,733.50 × 1,584,733.50
  4. Step 4: Simplify right side
    712,683x = 2,511,380,266,022.25
  5. Step 5: Solve for x
    x = 2,511,380,266,022.25/712,683
  6. Step 6: Final answer
    x = 3,523,839.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.