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Finding the Third Proportional to 594,505,440 and 1,243,217,862

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Solution

The third proportional to 594,505,440 and 1,243,217,862 is: 2,599,792,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,505,440 : 1,243,217,862 = 1,243,217,862 : x
  2. Step 2: Convert to fraction form
    594,505,440/1,243,217,862 = 1,243,217,862/x
  3. Step 3: Cross multiply
    594,505,440x = 1,243,217,862 × 1,243,217,862
  4. Step 4: Simplify right side
    594,505,440x = 1,545,590,652,395,851,008
  5. Step 5: Solve for x
    x = 1,545,590,652,395,851,008/594,505,440
  6. Step 6: Final answer
    x = 2,599,792,278.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.