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Finding the Third Proportional to 1,230,494 and 1,772,574.50

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Solution

The third proportional to 1,230,494 and 1,772,574.50 is: 2,553,462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,494 : 1,772,574.50 = 1,772,574.50 : x
  2. Step 2: Convert to fraction form
    1,230,494/1,772,574.50 = 1,772,574.50/x
  3. Step 3: Cross multiply
    1,230,494x = 1,772,574.50 × 1,772,574.50
  4. Step 4: Simplify right side
    1,230,494x = 3,142,020,358,050.25
  5. Step 5: Solve for x
    x = 3,142,020,358,050.25/1,230,494
  6. Step 6: Final answer
    x = 2,553,462.56

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.