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Finding the Third Proportional to 571,261,918 and 789,354,196

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Solution

The third proportional to 571,261,918 and 789,354,196 is: 1,090,708,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,261,918 : 789,354,196 = 789,354,196 : x
  2. Step 2: Convert to fraction form
    571,261,918/789,354,196 = 789,354,196/x
  3. Step 3: Cross multiply
    571,261,918x = 789,354,196 × 789,354,196
  4. Step 4: Simplify right side
    571,261,918x = 623,080,046,742,806,400
  5. Step 5: Solve for x
    x = 623,080,046,742,806,400/571,261,918
  6. Step 6: Final answer
    x = 1,090,708,179.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.