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Finding the Third Proportional to 792,146 and 1,710,564

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Solution

The third proportional to 792,146 and 1,710,564 is: 3,693,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,146 : 1,710,564 = 1,710,564 : x
  2. Step 2: Convert to fraction form
    792,146/1,710,564 = 1,710,564/x
  3. Step 3: Cross multiply
    792,146x = 1,710,564 × 1,710,564
  4. Step 4: Simplify right side
    792,146x = 2,926,029,198,096
  5. Step 5: Solve for x
    x = 2,926,029,198,096/792,146
  6. Step 6: Final answer
    x = 3,693,800.38

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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.