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Finding the Third Proportional to 1,765,438.50 and 3,742,728

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Solution

The third proportional to 1,765,438.50 and 3,742,728 is: 7,934,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,438.50 : 3,742,728 = 3,742,728 : x
  2. Step 2: Convert to fraction form
    1,765,438.50/3,742,728 = 3,742,728/x
  3. Step 3: Cross multiply
    1,765,438.50x = 3,742,728 × 3,742,728
  4. Step 4: Simplify right side
    1,765,438.50x = 14,008,012,881,984
  5. Step 5: Solve for x
    x = 14,008,012,881,984/1,765,438.50
  6. Step 6: Final answer
    x = 7,934,579.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.