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Finding the Third Proportional to 2,576,213 and 3,406,263

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Solution

The third proportional to 2,576,213 and 3,406,263 is: 4,503,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576,213 : 3,406,263 = 3,406,263 : x
  2. Step 2: Convert to fraction form
    2,576,213/3,406,263 = 3,406,263/x
  3. Step 3: Cross multiply
    2,576,213x = 3,406,263 × 3,406,263
  4. Step 4: Simplify right side
    2,576,213x = 11,602,627,625,169
  5. Step 5: Solve for x
    x = 11,602,627,625,169/2,576,213
  6. Step 6: Final answer
    x = 4,503,753.23

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.