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Finding the Third Proportional to 829,610 and 1,772,942

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Solution

The third proportional to 829,610 and 1,772,942 is: 3,788,916.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,610 : 1,772,942 = 1,772,942 : x
  2. Step 2: Convert to fraction form
    829,610/1,772,942 = 1,772,942/x
  3. Step 3: Cross multiply
    829,610x = 1,772,942 × 1,772,942
  4. Step 4: Simplify right side
    829,610x = 3,143,323,335,364
  5. Step 5: Solve for x
    x = 3,143,323,335,364/829,610
  6. Step 6: Final answer
    x = 3,788,916.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.