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Finding the Third Proportional to 869,776 and 1,764,008

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Solution

The third proportional to 869,776 and 1,764,008 is: 3,577,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,776 : 1,764,008 = 1,764,008 : x
  2. Step 2: Convert to fraction form
    869,776/1,764,008 = 1,764,008/x
  3. Step 3: Cross multiply
    869,776x = 1,764,008 × 1,764,008
  4. Step 4: Simplify right side
    869,776x = 3,111,724,224,064
  5. Step 5: Solve for x
    x = 3,111,724,224,064/869,776
  6. Step 6: Final answer
    x = 3,577,615.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.