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Finding the Third Proportional to 719,874 and 1,575,342

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Solution

The third proportional to 719,874 and 1,575,342 is: 3,447,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,874 : 1,575,342 = 1,575,342 : x
  2. Step 2: Convert to fraction form
    719,874/1,575,342 = 1,575,342/x
  3. Step 3: Cross multiply
    719,874x = 1,575,342 × 1,575,342
  4. Step 4: Simplify right side
    719,874x = 2,481,702,416,964
  5. Step 5: Solve for x
    x = 2,481,702,416,964/719,874
  6. Step 6: Final answer
    x = 3,447,412.21

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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.