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Finding the Third Proportional to 659,040 and 1,431,808

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Solution

The third proportional to 659,040 and 1,431,808 is: 3,110,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,040 : 1,431,808 = 1,431,808 : x
  2. Step 2: Convert to fraction form
    659,040/1,431,808 = 1,431,808/x
  3. Step 3: Cross multiply
    659,040x = 1,431,808 × 1,431,808
  4. Step 4: Simplify right side
    659,040x = 2,050,074,148,864
  5. Step 5: Solve for x
    x = 2,050,074,148,864/659,040
  6. Step 6: Final answer
    x = 3,110,697.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.