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Finding the Third Proportional to 656,878 and 1,421,720

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Solution

The third proportional to 656,878 and 1,421,720 is: 3,077,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,878 : 1,421,720 = 1,421,720 : x
  2. Step 2: Convert to fraction form
    656,878/1,421,720 = 1,421,720/x
  3. Step 3: Cross multiply
    656,878x = 1,421,720 × 1,421,720
  4. Step 4: Simplify right side
    656,878x = 2,021,287,758,400
  5. Step 5: Solve for x
    x = 2,021,287,758,400/656,878
  6. Step 6: Final answer
    x = 3,077,112.89

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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.