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Finding the Third Proportional to 734,624 and 1,610,080

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Solution

The third proportional to 734,624 and 1,610,080 is: 3,528,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,624 : 1,610,080 = 1,610,080 : x
  2. Step 2: Convert to fraction form
    734,624/1,610,080 = 1,610,080/x
  3. Step 3: Cross multiply
    734,624x = 1,610,080 × 1,610,080
  4. Step 4: Simplify right side
    734,624x = 2,592,357,606,400
  5. Step 5: Solve for x
    x = 2,592,357,606,400/734,624
  6. Step 6: Final answer
    x = 3,528,822.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.