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Finding the Third Proportional to 586,722,938 and 1,243,396,702

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Solution

The third proportional to 586,722,938 and 1,243,396,702 is: 2,635,034,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,722,938 : 1,243,396,702 = 1,243,396,702 : x
  2. Step 2: Convert to fraction form
    586,722,938/1,243,396,702 = 1,243,396,702/x
  3. Step 3: Cross multiply
    586,722,938x = 1,243,396,702 × 1,243,396,702
  4. Step 4: Simplify right side
    586,722,938x = 1,546,035,358,544,476,928
  5. Step 5: Solve for x
    x = 1,546,035,358,544,476,928/586,722,938
  6. Step 6: Final answer
    x = 2,635,034,798.22

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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.