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Finding the Third Proportional to 461,985,528 and 1,027,263,552

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Solution

The third proportional to 461,985,528 and 1,027,263,552 is: 2,284,206,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,985,528 : 1,027,263,552 = 1,027,263,552 : x
  2. Step 2: Convert to fraction form
    461,985,528/1,027,263,552 = 1,027,263,552/x
  3. Step 3: Cross multiply
    461,985,528x = 1,027,263,552 × 1,027,263,552
  4. Step 4: Simplify right side
    461,985,528x = 1,055,270,405,267,656,704
  5. Step 5: Solve for x
    x = 1,055,270,405,267,656,704/461,985,528
  6. Step 6: Final answer
    x = 2,284,206,628.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.