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Finding the Third Proportional to 407,812,336 and 880,605,821

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Solution

The third proportional to 407,812,336 and 880,605,821 is: 1,901,528,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,812,336 : 880,605,821 = 880,605,821 : x
  2. Step 2: Convert to fraction form
    407,812,336/880,605,821 = 880,605,821/x
  3. Step 3: Cross multiply
    407,812,336x = 880,605,821 × 880,605,821
  4. Step 4: Simplify right side
    407,812,336x = 775,466,611,979,084,032
  5. Step 5: Solve for x
    x = 775,466,611,979,084,032/407,812,336
  6. Step 6: Final answer
    x = 1,901,528,089.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.