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Finding the Third Proportional to 727,924 and 1,575,080

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Solution

The third proportional to 727,924 and 1,575,080 is: 3,408,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,924 : 1,575,080 = 1,575,080 : x
  2. Step 2: Convert to fraction form
    727,924/1,575,080 = 1,575,080/x
  3. Step 3: Cross multiply
    727,924x = 1,575,080 × 1,575,080
  4. Step 4: Simplify right side
    727,924x = 2,480,877,006,400
  5. Step 5: Solve for x
    x = 2,480,877,006,400/727,924
  6. Step 6: Final answer
    x = 3,408,153.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.