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Finding the Third Proportional to 443,141,576 and 695,133,670

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Solution

The third proportional to 443,141,576 and 695,133,670 is: 1,090,420,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,141,576 : 695,133,670 = 695,133,670 : x
  2. Step 2: Convert to fraction form
    443,141,576/695,133,670 = 695,133,670/x
  3. Step 3: Cross multiply
    443,141,576x = 695,133,670 × 695,133,670
  4. Step 4: Simplify right side
    443,141,576x = 483,210,819,167,668,928
  5. Step 5: Solve for x
    x = 483,210,819,167,668,928/443,141,576
  6. Step 6: Final answer
    x = 1,090,420,861.72

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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.