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Finding the Third Proportional to 771,196,640 and 1,174,865,088

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Solution

The third proportional to 771,196,640 and 1,174,865,088 is: 1,789,826,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,196,640 : 1,174,865,088 = 1,174,865,088 : x
  2. Step 2: Convert to fraction form
    771,196,640/1,174,865,088 = 1,174,865,088/x
  3. Step 3: Cross multiply
    771,196,640x = 1,174,865,088 × 1,174,865,088
  4. Step 4: Simplify right side
    771,196,640x = 1,380,307,975,001,247,744
  5. Step 5: Solve for x
    x = 1,380,307,975,001,247,744/771,196,640
  6. Step 6: Final answer
    x = 1,789,826,230.31

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Why These Related Problems?

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