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Finding the Third Proportional to 2,307,943 and 5,342,468

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Solution

The third proportional to 2,307,943 and 5,342,468 is: 12,366,841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307,943 : 5,342,468 = 5,342,468 : x
  2. Step 2: Convert to fraction form
    2,307,943/5,342,468 = 5,342,468/x
  3. Step 3: Cross multiply
    2,307,943x = 5,342,468 × 5,342,468
  4. Step 4: Simplify right side
    2,307,943x = 28,541,964,331,024
  5. Step 5: Solve for x
    x = 28,541,964,331,024/2,307,943
  6. Step 6: Final answer
    x = 12,366,841.09

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.