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Finding the Third Proportional to 785,316 and 1,709,685

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Solution

The third proportional to 785,316 and 1,709,685 is: 3,722,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,316 : 1,709,685 = 1,709,685 : x
  2. Step 2: Convert to fraction form
    785,316/1,709,685 = 1,709,685/x
  3. Step 3: Cross multiply
    785,316x = 1,709,685 × 1,709,685
  4. Step 4: Simplify right side
    785,316x = 2,923,022,799,225
  5. Step 5: Solve for x
    x = 2,923,022,799,225/785,316
  6. Step 6: Final answer
    x = 3,722,097.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.