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Finding the Third Proportional to 1,160,385.75 and 1,742,770.69

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Solution

The third proportional to 1,160,385.75 and 1,742,770.69 is: 2,617,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,385.75 : 1,742,770.69 = 1,742,770.69 : x
  2. Step 2: Convert to fraction form
    1,160,385.75/1,742,770.69 = 1,742,770.69/x
  3. Step 3: Cross multiply
    1,160,385.75x = 1,742,770.69 × 1,742,770.69
  4. Step 4: Simplify right side
    1,160,385.75x = 3,037,249,669,209.22
  5. Step 5: Solve for x
    x = 3,037,249,669,209.22/1,160,385.75
  6. Step 6: Final answer
    x = 2,617,448.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.