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Finding the Third Proportional to 500,998,081 and 1,036,362,681

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Solution

The third proportional to 500,998,081 and 1,036,362,681 is: 2,143,815,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,998,081 : 1,036,362,681 = 1,036,362,681 : x
  2. Step 2: Convert to fraction form
    500,998,081/1,036,362,681 = 1,036,362,681/x
  3. Step 3: Cross multiply
    500,998,081x = 1,036,362,681 × 1,036,362,681
  4. Step 4: Simplify right side
    500,998,081x = 1,074,047,606,569,507,712
  5. Step 5: Solve for x
    x = 1,074,047,606,569,507,712/500,998,081
  6. Step 6: Final answer
    x = 2,143,815,809.49

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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.