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Finding the Third Proportional to 1,641,875.03 and 3,593,000.46

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Solution

The third proportional to 1,641,875.03 and 3,593,000.46 is: 7,862,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,875.03 : 3,593,000.46 = 3,593,000.46 : x
  2. Step 2: Convert to fraction form
    1,641,875.03/3,593,000.46 = 3,593,000.46/x
  3. Step 3: Cross multiply
    1,641,875.03x = 3,593,000.46 × 3,593,000.46
  4. Step 4: Simplify right side
    1,641,875.03x = 12,909,652,320,190.19
  5. Step 5: Solve for x
    x = 12,909,652,320,190.19/1,641,875.03
  6. Step 6: Final answer
    x = 7,862,749.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.