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Finding the Third Proportional to 1,765,478.50 and 3,742,849

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Solution

The third proportional to 1,765,478.50 and 3,742,849 is: 7,934,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,478.50 : 3,742,849 = 3,742,849 : x
  2. Step 2: Convert to fraction form
    1,765,478.50/3,742,849 = 3,742,849/x
  3. Step 3: Cross multiply
    1,765,478.50x = 3,742,849 × 3,742,849
  4. Step 4: Simplify right side
    1,765,478.50x = 14,008,918,636,801
  5. Step 5: Solve for x
    x = 14,008,918,636,801/1,765,478.50
  6. Step 6: Final answer
    x = 7,934,913.19

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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.