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Finding the Third Proportional to 1,662,196 and 3,590,216

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Solution

The third proportional to 1,662,196 and 3,590,216 is: 7,754,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662,196 : 3,590,216 = 3,590,216 : x
  2. Step 2: Convert to fraction form
    1,662,196/3,590,216 = 3,590,216/x
  3. Step 3: Cross multiply
    1,662,196x = 3,590,216 × 3,590,216
  4. Step 4: Simplify right side
    1,662,196x = 12,889,650,926,656
  5. Step 5: Solve for x
    x = 12,889,650,926,656/1,662,196
  6. Step 6: Final answer
    x = 7,754,591.47

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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.