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Finding the Third Proportional to 771,010,641 and 1,174,584,969

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Solution

The third proportional to 771,010,641 and 1,174,584,969 is: 1,789,404,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,010,641 : 1,174,584,969 = 1,174,584,969 : x
  2. Step 2: Convert to fraction form
    771,010,641/1,174,584,969 = 1,174,584,969/x
  3. Step 3: Cross multiply
    771,010,641x = 1,174,584,969 × 1,174,584,969
  4. Step 4: Simplify right side
    771,010,641x = 1,379,649,849,400,730,880
  5. Step 5: Solve for x
    x = 1,379,649,849,400,730,880/771,010,641
  6. Step 6: Final answer
    x = 1,789,404,420.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.