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Finding the Third Proportional to 4,402,218.38 and 5,788,897.88

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Solution

The third proportional to 4,402,218.38 and 5,788,897.88 is: 7,612,375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402,218.38 : 5,788,897.88 = 5,788,897.88 : x
  2. Step 2: Convert to fraction form
    4,402,218.38/5,788,897.88 = 5,788,897.88/x
  3. Step 3: Cross multiply
    4,402,218.38x = 5,788,897.88 × 5,788,897.88
  4. Step 4: Simplify right side
    4,402,218.38x = 33,511,338,607,179.52
  5. Step 5: Solve for x
    x = 33,511,338,607,179.52/4,402,218.38
  6. Step 6: Final answer
    x = 7,612,375.34

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.