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Finding the Third Proportional to 589,316,949 and 1,283,261,358

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Solution

The third proportional to 589,316,949 and 1,283,261,358 is: 2,794,353,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,316,949 : 1,283,261,358 = 1,283,261,358 : x
  2. Step 2: Convert to fraction form
    589,316,949/1,283,261,358 = 1,283,261,358/x
  3. Step 3: Cross multiply
    589,316,949x = 1,283,261,358 × 1,283,261,358
  4. Step 4: Simplify right side
    589,316,949x = 1,646,759,712,936,004,096
  5. Step 5: Solve for x
    x = 1,646,759,712,936,004,096/589,316,949
  6. Step 6: Final answer
    x = 2,794,353,218.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.