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Finding the Third Proportional to 728,123,418 and 1,604,661,576

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Solution

The third proportional to 728,123,418 and 1,604,661,576 is: 3,536,404,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,123,418 : 1,604,661,576 = 1,604,661,576 : x
  2. Step 2: Convert to fraction form
    728,123,418/1,604,661,576 = 1,604,661,576/x
  3. Step 3: Cross multiply
    728,123,418x = 1,604,661,576 × 1,604,661,576
  4. Step 4: Simplify right side
    728,123,418x = 2,574,938,773,490,803,712
  5. Step 5: Solve for x
    x = 2,574,938,773,490,803,712/728,123,418
  6. Step 6: Final answer
    x = 3,536,404,282.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.