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Finding the Third Proportional to 656,214 and 1,403,424

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Solution

The third proportional to 656,214 and 1,403,424 is: 3,001,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,214 : 1,403,424 = 1,403,424 : x
  2. Step 2: Convert to fraction form
    656,214/1,403,424 = 1,403,424/x
  3. Step 3: Cross multiply
    656,214x = 1,403,424 × 1,403,424
  4. Step 4: Simplify right side
    656,214x = 1,969,598,923,776
  5. Step 5: Solve for x
    x = 1,969,598,923,776/656,214
  6. Step 6: Final answer
    x = 3,001,458.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.