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Finding the Third Proportional to 753,440 and 1,653,200

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Solution

The third proportional to 753,440 and 1,653,200 is: 3,627,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,440 : 1,653,200 = 1,653,200 : x
  2. Step 2: Convert to fraction form
    753,440/1,653,200 = 1,653,200/x
  3. Step 3: Cross multiply
    753,440x = 1,653,200 × 1,653,200
  4. Step 4: Simplify right side
    753,440x = 2,733,070,240,000
  5. Step 5: Solve for x
    x = 2,733,070,240,000/753,440
  6. Step 6: Final answer
    x = 3,627,455.72

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