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Finding the Third Proportional to 617,266 and 1,263,133.50

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Solution

The third proportional to 617,266 and 1,263,133.50 is: 2,584,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,266 : 1,263,133.50 = 1,263,133.50 : x
  2. Step 2: Convert to fraction form
    617,266/1,263,133.50 = 1,263,133.50/x
  3. Step 3: Cross multiply
    617,266x = 1,263,133.50 × 1,263,133.50
  4. Step 4: Simplify right side
    617,266x = 1,595,506,238,822.25
  5. Step 5: Solve for x
    x = 1,595,506,238,822.25/617,266
  6. Step 6: Final answer
    x = 2,584,795.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.