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Finding the Third Proportional to 1,157,366 and 1,769,403

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Solution

The third proportional to 1,157,366 and 1,769,403 is: 2,705,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,366 : 1,769,403 = 1,769,403 : x
  2. Step 2: Convert to fraction form
    1,157,366/1,769,403 = 1,769,403/x
  3. Step 3: Cross multiply
    1,157,366x = 1,769,403 × 1,769,403
  4. Step 4: Simplify right side
    1,157,366x = 3,130,786,976,409
  5. Step 5: Solve for x
    x = 3,130,786,976,409/1,157,366
  6. Step 6: Final answer
    x = 2,705,096.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.