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Finding the Third Proportional to 659,430 and 1,412,148

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Solution

The third proportional to 659,430 and 1,412,148 is: 3,024,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,430 : 1,412,148 = 1,412,148 : x
  2. Step 2: Convert to fraction form
    659,430/1,412,148 = 1,412,148/x
  3. Step 3: Cross multiply
    659,430x = 1,412,148 × 1,412,148
  4. Step 4: Simplify right side
    659,430x = 1,994,161,973,904
  5. Step 5: Solve for x
    x = 1,994,161,973,904/659,430
  6. Step 6: Final answer
    x = 3,024,069.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.