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Finding the Third Proportional to 780,352,842 and 1,127,475,093

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Solution

The third proportional to 780,352,842 and 1,127,475,093 is: 1,629,006,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,352,842 : 1,127,475,093 = 1,127,475,093 : x
  2. Step 2: Convert to fraction form
    780,352,842/1,127,475,093 = 1,127,475,093/x
  3. Step 3: Cross multiply
    780,352,842x = 1,127,475,093 × 1,127,475,093
  4. Step 4: Simplify right side
    780,352,842x = 1,271,200,085,335,358,720
  5. Step 5: Solve for x
    x = 1,271,200,085,335,358,720/780,352,842
  6. Step 6: Final answer
    x = 1,629,006,799.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.