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Finding the Third Proportional to 728,123,424 and 1,604,661,590

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Solution

The third proportional to 728,123,424 and 1,604,661,590 is: 3,536,404,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,123,424 : 1,604,661,590 = 1,604,661,590 : x
  2. Step 2: Convert to fraction form
    728,123,424/1,604,661,590 = 1,604,661,590/x
  3. Step 3: Cross multiply
    728,123,424x = 1,604,661,590 × 1,604,661,590
  4. Step 4: Simplify right side
    728,123,424x = 2,574,938,818,421,327,872
  5. Step 5: Solve for x
    x = 2,574,938,818,421,327,872/728,123,424
  6. Step 6: Final answer
    x = 3,536,404,314.91

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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.