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Finding the Third Proportional to 659,473 and 1,421,330

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Solution

The third proportional to 659,473 and 1,421,330 is: 3,063,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,473 : 1,421,330 = 1,421,330 : x
  2. Step 2: Convert to fraction form
    659,473/1,421,330 = 1,421,330/x
  3. Step 3: Cross multiply
    659,473x = 1,421,330 × 1,421,330
  4. Step 4: Simplify right side
    659,473x = 2,020,178,968,900
  5. Step 5: Solve for x
    x = 2,020,178,968,900/659,473
  6. Step 6: Final answer
    x = 3,063,323.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.