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Finding the Third Proportional to 428,624,802 and 908,753,580

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Solution

The third proportional to 428,624,802 and 908,753,580 is: 1,926,703,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,624,802 : 908,753,580 = 908,753,580 : x
  2. Step 2: Convert to fraction form
    428,624,802/908,753,580 = 908,753,580/x
  3. Step 3: Cross multiply
    428,624,802x = 908,753,580 × 908,753,580
  4. Step 4: Simplify right side
    428,624,802x = 825,833,069,162,816,384
  5. Step 5: Solve for x
    x = 825,833,069,162,816,384/428,624,802
  6. Step 6: Final answer
    x = 1,926,703,880.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.