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Finding the Third Proportional to 1,533,264.75 and 3,225,327.75

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Solution

The third proportional to 1,533,264.75 and 3,225,327.75 is: 6,784,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533,264.75 : 3,225,327.75 = 3,225,327.75 : x
  2. Step 2: Convert to fraction form
    1,533,264.75/3,225,327.75 = 3,225,327.75/x
  3. Step 3: Cross multiply
    1,533,264.75x = 3,225,327.75 × 3,225,327.75
  4. Step 4: Simplify right side
    1,533,264.75x = 10,402,739,094,920.06
  5. Step 5: Solve for x
    x = 10,402,739,094,920.06/1,533,264.75
  6. Step 6: Final answer
    x = 6,784,698.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.