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Finding the Third Proportional to 1,437,764 and 3,077,498

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Solution

The third proportional to 1,437,764 and 3,077,498 is: 6,587,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437,764 : 3,077,498 = 3,077,498 : x
  2. Step 2: Convert to fraction form
    1,437,764/3,077,498 = 3,077,498/x
  3. Step 3: Cross multiply
    1,437,764x = 3,077,498 × 3,077,498
  4. Step 4: Simplify right side
    1,437,764x = 9,470,993,940,004
  5. Step 5: Solve for x
    x = 9,470,993,940,004/1,437,764
  6. Step 6: Final answer
    x = 6,587,307.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.