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Finding the Third Proportional to 714,575 and 1,532,759

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Solution

The third proportional to 714,575 and 1,532,759 is: 3,287,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,575 : 1,532,759 = 1,532,759 : x
  2. Step 2: Convert to fraction form
    714,575/1,532,759 = 1,532,759/x
  3. Step 3: Cross multiply
    714,575x = 1,532,759 × 1,532,759
  4. Step 4: Simplify right side
    714,575x = 2,349,350,152,081
  5. Step 5: Solve for x
    x = 2,349,350,152,081/714,575
  6. Step 6: Final answer
    x = 3,287,758.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.