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Finding the Third Proportional to 1,119,108 and 1,688,014

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Solution

The third proportional to 1,119,108 and 1,688,014 is: 2,546,127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119,108 : 1,688,014 = 1,688,014 : x
  2. Step 2: Convert to fraction form
    1,119,108/1,688,014 = 1,688,014/x
  3. Step 3: Cross multiply
    1,119,108x = 1,688,014 × 1,688,014
  4. Step 4: Simplify right side
    1,119,108x = 2,849,391,264,196
  5. Step 5: Solve for x
    x = 2,849,391,264,196/1,119,108
  6. Step 6: Final answer
    x = 2,546,127.15

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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.