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Finding the Third Proportional to 762,924 and 1,656,942

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Solution

The third proportional to 762,924 and 1,656,942 is: 3,598,598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,924 : 1,656,942 = 1,656,942 : x
  2. Step 2: Convert to fraction form
    762,924/1,656,942 = 1,656,942/x
  3. Step 3: Cross multiply
    762,924x = 1,656,942 × 1,656,942
  4. Step 4: Simplify right side
    762,924x = 2,745,456,791,364
  5. Step 5: Solve for x
    x = 2,745,456,791,364/762,924
  6. Step 6: Final answer
    x = 3,598,598.01

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