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Finding the Third Proportional to 719,934 and 1,575,462

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Solution

The third proportional to 719,934 and 1,575,462 is: 3,447,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,934 : 1,575,462 = 1,575,462 : x
  2. Step 2: Convert to fraction form
    719,934/1,575,462 = 1,575,462/x
  3. Step 3: Cross multiply
    719,934x = 1,575,462 × 1,575,462
  4. Step 4: Simplify right side
    719,934x = 2,482,080,513,444
  5. Step 5: Solve for x
    x = 2,482,080,513,444/719,934
  6. Step 6: Final answer
    x = 3,447,650.08

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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.