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Finding the Third Proportional to 656,256 and 1,028,130

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Solution

The third proportional to 656,256 and 1,028,130 is: 1,610,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,256 : 1,028,130 = 1,028,130 : x
  2. Step 2: Convert to fraction form
    656,256/1,028,130 = 1,028,130/x
  3. Step 3: Cross multiply
    656,256x = 1,028,130 × 1,028,130
  4. Step 4: Simplify right side
    656,256x = 1,057,051,296,900
  5. Step 5: Solve for x
    x = 1,057,051,296,900/656,256
  6. Step 6: Final answer
    x = 1,610,730.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.