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Finding the Third Proportional to 645,210 and 1,003,086

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Solution

The third proportional to 645,210 and 1,003,086 is: 1,559,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,210 : 1,003,086 = 1,003,086 : x
  2. Step 2: Convert to fraction form
    645,210/1,003,086 = 1,003,086/x
  3. Step 3: Cross multiply
    645,210x = 1,003,086 × 1,003,086
  4. Step 4: Simplify right side
    645,210x = 1,006,181,523,396
  5. Step 5: Solve for x
    x = 1,006,181,523,396/645,210
  6. Step 6: Final answer
    x = 1,559,463.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.