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Finding the Third Proportional to 730,866,999 and 1,199,798,734.50

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Solution

The third proportional to 730,866,999 and 1,199,798,734.50 is: 1,969,601,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,866,999 : 1,199,798,734.50 = 1,199,798,734.50 : x
  2. Step 2: Convert to fraction form
    730,866,999/1,199,798,734.50 = 1,199,798,734.50/x
  3. Step 3: Cross multiply
    730,866,999x = 1,199,798,734.50 × 1,199,798,734.50
  4. Step 4: Simplify right side
    730,866,999x = 1,439,517,003,307,801,600
  5. Step 5: Solve for x
    x = 1,439,517,003,307,801,600/730,866,999
  6. Step 6: Final answer
    x = 1,969,601,863.65

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.