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Finding the Third Proportional to 656,010 and 1,420,830

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Solution

The third proportional to 656,010 and 1,420,830 is: 3,077,327.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,010 : 1,420,830 = 1,420,830 : x
  2. Step 2: Convert to fraction form
    656,010/1,420,830 = 1,420,830/x
  3. Step 3: Cross multiply
    656,010x = 1,420,830 × 1,420,830
  4. Step 4: Simplify right side
    656,010x = 2,018,757,888,900
  5. Step 5: Solve for x
    x = 2,018,757,888,900/656,010
  6. Step 6: Final answer
    x = 3,077,327.92

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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.