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Finding the Third Proportional to 724,281 and 1,559,010

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Solution

The third proportional to 724,281 and 1,559,010 is: 3,355,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,281 : 1,559,010 = 1,559,010 : x
  2. Step 2: Convert to fraction form
    724,281/1,559,010 = 1,559,010/x
  3. Step 3: Cross multiply
    724,281x = 1,559,010 × 1,559,010
  4. Step 4: Simplify right side
    724,281x = 2,430,512,180,100
  5. Step 5: Solve for x
    x = 2,430,512,180,100/724,281
  6. Step 6: Final answer
    x = 3,355,758.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.