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Finding the Third Proportional to 4,026,214.50 and 6,097,959

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Solution

The third proportional to 4,026,214.50 and 6,097,959 is: 9,235,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026,214.50 : 6,097,959 = 6,097,959 : x
  2. Step 2: Convert to fraction form
    4,026,214.50/6,097,959 = 6,097,959/x
  3. Step 3: Cross multiply
    4,026,214.50x = 6,097,959 × 6,097,959
  4. Step 4: Simplify right side
    4,026,214.50x = 37,185,103,965,681
  5. Step 5: Solve for x
    x = 37,185,103,965,681/4,026,214.50
  6. Step 6: Final answer
    x = 9,235,748.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.