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Finding the Third Proportional to 1,617,765.50 and 2,575,430

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Solution

The third proportional to 1,617,765.50 and 2,575,430 is: 4,100,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,765.50 : 2,575,430 = 2,575,430 : x
  2. Step 2: Convert to fraction form
    1,617,765.50/2,575,430 = 2,575,430/x
  3. Step 3: Cross multiply
    1,617,765.50x = 2,575,430 × 2,575,430
  4. Step 4: Simplify right side
    1,617,765.50x = 6,632,839,684,900
  5. Step 5: Solve for x
    x = 6,632,839,684,900/1,617,765.50
  6. Step 6: Final answer
    x = 4,100,000.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.