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Finding the Third Proportional to 709,200 and 1,536,534

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Solution

The third proportional to 709,200 and 1,536,534 is: 3,329,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,200 : 1,536,534 = 1,536,534 : x
  2. Step 2: Convert to fraction form
    709,200/1,536,534 = 1,536,534/x
  3. Step 3: Cross multiply
    709,200x = 1,536,534 × 1,536,534
  4. Step 4: Simplify right side
    709,200x = 2,360,936,733,156
  5. Step 5: Solve for x
    x = 2,360,936,733,156/709,200
  6. Step 6: Final answer
    x = 3,329,014.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.