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Finding the Third Proportional to 787,056 and 1,688,784

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Solution

The third proportional to 787,056 and 1,688,784 is: 3,623,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,056 : 1,688,784 = 1,688,784 : x
  2. Step 2: Convert to fraction form
    787,056/1,688,784 = 1,688,784/x
  3. Step 3: Cross multiply
    787,056x = 1,688,784 × 1,688,784
  4. Step 4: Simplify right side
    787,056x = 2,851,991,398,656
  5. Step 5: Solve for x
    x = 2,851,991,398,656/787,056
  6. Step 6: Final answer
    x = 3,623,619.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.