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Finding the Third Proportional to 1,742,604.75 and 3,774,713.63

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Solution

The third proportional to 1,742,604.75 and 3,774,713.63 is: 8,176,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,604.75 : 3,774,713.63 = 3,774,713.63 : x
  2. Step 2: Convert to fraction form
    1,742,604.75/3,774,713.63 = 3,774,713.63/x
  3. Step 3: Cross multiply
    1,742,604.75x = 3,774,713.63 × 3,774,713.63
  4. Step 4: Simplify right side
    1,742,604.75x = 14,248,462,950,760.64
  5. Step 5: Solve for x
    x = 14,248,462,950,760.64/1,742,604.75
  6. Step 6: Final answer
    x = 8,176,531.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.