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Finding the Third Proportional to 753,564 and 1,625,196

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Solution

The third proportional to 753,564 and 1,625,196 is: 3,505,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,564 : 1,625,196 = 1,625,196 : x
  2. Step 2: Convert to fraction form
    753,564/1,625,196 = 1,625,196/x
  3. Step 3: Cross multiply
    753,564x = 1,625,196 × 1,625,196
  4. Step 4: Simplify right side
    753,564x = 2,641,262,038,416
  5. Step 5: Solve for x
    x = 2,641,262,038,416/753,564
  6. Step 6: Final answer
    x = 3,505,026.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.