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Finding the Third Proportional to 605,116 and 1,303,594

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Solution

The third proportional to 605,116 and 1,303,594 is: 2,808,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,116 : 1,303,594 = 1,303,594 : x
  2. Step 2: Convert to fraction form
    605,116/1,303,594 = 1,303,594/x
  3. Step 3: Cross multiply
    605,116x = 1,303,594 × 1,303,594
  4. Step 4: Simplify right side
    605,116x = 1,699,357,316,836
  5. Step 5: Solve for x
    x = 1,699,357,316,836/605,116
  6. Step 6: Final answer
    x = 2,808,316.62

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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.