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Finding the Third Proportional to 1,119,110 and 1,688,017

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Solution

The third proportional to 1,119,110 and 1,688,017 is: 2,546,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119,110 : 1,688,017 = 1,688,017 : x
  2. Step 2: Convert to fraction form
    1,119,110/1,688,017 = 1,688,017/x
  3. Step 3: Cross multiply
    1,119,110x = 1,688,017 × 1,688,017
  4. Step 4: Simplify right side
    1,119,110x = 2,849,401,392,289
  5. Step 5: Solve for x
    x = 2,849,401,392,289/1,119,110
  6. Step 6: Final answer
    x = 2,546,131.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.