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Finding the Third Proportional to 1,602,710 and 2,291,713

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Solution

The third proportional to 1,602,710 and 2,291,713 is: 3,276,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,710 : 2,291,713 = 2,291,713 : x
  2. Step 2: Convert to fraction form
    1,602,710/2,291,713 = 2,291,713/x
  3. Step 3: Cross multiply
    1,602,710x = 2,291,713 × 2,291,713
  4. Step 4: Simplify right side
    1,602,710x = 5,251,948,474,369
  5. Step 5: Solve for x
    x = 5,251,948,474,369/1,602,710
  6. Step 6: Final answer
    x = 3,276,917.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.