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Finding the Third Proportional to 929,583 and 1,970,784

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Solution

The third proportional to 929,583 and 1,970,784 is: 4,178,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,583 : 1,970,784 = 1,970,784 : x
  2. Step 2: Convert to fraction form
    929,583/1,970,784 = 1,970,784/x
  3. Step 3: Cross multiply
    929,583x = 1,970,784 × 1,970,784
  4. Step 4: Simplify right side
    929,583x = 3,883,989,574,656
  5. Step 5: Solve for x
    x = 3,883,989,574,656/929,583
  6. Step 6: Final answer
    x = 4,178,206.33

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.