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Finding the Third Proportional to 749,036 and 1,617,784

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Solution

The third proportional to 749,036 and 1,617,784 is: 3,494,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,036 : 1,617,784 = 1,617,784 : x
  2. Step 2: Convert to fraction form
    749,036/1,617,784 = 1,617,784/x
  3. Step 3: Cross multiply
    749,036x = 1,617,784 × 1,617,784
  4. Step 4: Simplify right side
    749,036x = 2,617,225,070,656
  5. Step 5: Solve for x
    x = 2,617,225,070,656/749,036
  6. Step 6: Final answer
    x = 3,494,124.54

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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.