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Finding the Third Proportional to 420,607.69 and 917,340.19

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Solution

The third proportional to 420,607.69 and 917,340.19 is: 2,000,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,607.69 : 917,340.19 = 917,340.19 : x
  2. Step 2: Convert to fraction form
    420,607.69/917,340.19 = 917,340.19/x
  3. Step 3: Cross multiply
    420,607.69x = 917,340.19 × 917,340.19
  4. Step 4: Simplify right side
    420,607.69x = 841,513,019,602.54
  5. Step 5: Solve for x
    x = 841,513,019,602.54/420,607.69
  6. Step 6: Final answer
    x = 2,000,707.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.