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Finding the Third Proportional to 512,678,090 and 794,349,075

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Solution

The third proportional to 512,678,090 and 794,349,075 is: 1,230,773,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,678,090 : 794,349,075 = 794,349,075 : x
  2. Step 2: Convert to fraction form
    512,678,090/794,349,075 = 794,349,075/x
  3. Step 3: Cross multiply
    512,678,090x = 794,349,075 × 794,349,075
  4. Step 4: Simplify right side
    512,678,090x = 630,990,452,953,355,648
  5. Step 5: Solve for x
    x = 630,990,452,953,355,648/512,678,090
  6. Step 6: Final answer
    x = 1,230,773,199.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.