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Finding the Third Proportional to 500,998,071 and 1,036,362,661

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Solution

The third proportional to 500,998,071 and 1,036,362,661 is: 2,143,815,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,998,071 : 1,036,362,661 = 1,036,362,661 : x
  2. Step 2: Convert to fraction form
    500,998,071/1,036,362,661 = 1,036,362,661/x
  3. Step 3: Cross multiply
    500,998,071x = 1,036,362,661 × 1,036,362,661
  4. Step 4: Simplify right side
    500,998,071x = 1,074,047,565,115,000,960
  5. Step 5: Solve for x
    x = 1,074,047,565,115,000,960/500,998,071
  6. Step 6: Final answer
    x = 2,143,815,769.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.