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Finding the Third Proportional to 2,742,535 and 5,906,519

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Solution

The third proportional to 2,742,535 and 5,906,519 is: 12,720,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742,535 : 5,906,519 = 5,906,519 : x
  2. Step 2: Convert to fraction form
    2,742,535/5,906,519 = 5,906,519/x
  3. Step 3: Cross multiply
    2,742,535x = 5,906,519 × 5,906,519
  4. Step 4: Simplify right side
    2,742,535x = 34,886,966,697,361
  5. Step 5: Solve for x
    x = 34,886,966,697,361/2,742,535
  6. Step 6: Final answer
    x = 12,720,700.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.