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Finding the Third Proportional to 713,324,610 and 1,446,706,284

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Solution

The third proportional to 713,324,610 and 1,446,706,284 is: 2,934,090,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,324,610 : 1,446,706,284 = 1,446,706,284 : x
  2. Step 2: Convert to fraction form
    713,324,610/1,446,706,284 = 1,446,706,284/x
  3. Step 3: Cross multiply
    713,324,610x = 1,446,706,284 × 1,446,706,284
  4. Step 4: Simplify right side
    713,324,610x = 2,092,959,072,165,088,768
  5. Step 5: Solve for x
    x = 2,092,959,072,165,088,768/713,324,610
  6. Step 6: Final answer
    x = 2,934,090,654.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.