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Finding the Third Proportional to 656,133 and 1,409,952

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Solution

The third proportional to 656,133 and 1,409,952 is: 3,029,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,133 : 1,409,952 = 1,409,952 : x
  2. Step 2: Convert to fraction form
    656,133/1,409,952 = 1,409,952/x
  3. Step 3: Cross multiply
    656,133x = 1,409,952 × 1,409,952
  4. Step 4: Simplify right side
    656,133x = 1,987,964,642,304
  5. Step 5: Solve for x
    x = 1,987,964,642,304/656,133
  6. Step 6: Final answer
    x = 3,029,819.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.