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Finding the Third Proportional to 759,537 and 1,620,769.50

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Solution

The third proportional to 759,537 and 1,620,769.50 is: 3,458,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,537 : 1,620,769.50 = 1,620,769.50 : x
  2. Step 2: Convert to fraction form
    759,537/1,620,769.50 = 1,620,769.50/x
  3. Step 3: Cross multiply
    759,537x = 1,620,769.50 × 1,620,769.50
  4. Step 4: Simplify right side
    759,537x = 2,626,893,772,130.25
  5. Step 5: Solve for x
    x = 2,626,893,772,130.25/759,537
  6. Step 6: Final answer
    x = 3,458,546.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.