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Finding the Third Proportional to 1,335,906 and 2,718,465

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Solution

The third proportional to 1,335,906 and 2,718,465 is: 5,531,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,906 : 2,718,465 = 2,718,465 : x
  2. Step 2: Convert to fraction form
    1,335,906/2,718,465 = 2,718,465/x
  3. Step 3: Cross multiply
    1,335,906x = 2,718,465 × 2,718,465
  4. Step 4: Simplify right side
    1,335,906x = 7,390,051,956,225
  5. Step 5: Solve for x
    x = 7,390,051,956,225/1,335,906
  6. Step 6: Final answer
    x = 5,531,865.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.