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Finding the Third Proportional to 690,775,054 and 1,127,854,083

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Solution

The third proportional to 690,775,054 and 1,127,854,083 is: 1,841,489,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,775,054 : 1,127,854,083 = 1,127,854,083 : x
  2. Step 2: Convert to fraction form
    690,775,054/1,127,854,083 = 1,127,854,083/x
  3. Step 3: Cross multiply
    690,775,054x = 1,127,854,083 × 1,127,854,083
  4. Step 4: Simplify right side
    690,775,054x = 1,272,054,832,539,770,880
  5. Step 5: Solve for x
    x = 1,272,054,832,539,770,880/690,775,054
  6. Step 6: Final answer
    x = 1,841,489,244.83

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.