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Finding the Third Proportional to 1,014,689 and 2,186,356

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Solution

The third proportional to 1,014,689 and 2,186,356 is: 4,710,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,689 : 2,186,356 = 2,186,356 : x
  2. Step 2: Convert to fraction form
    1,014,689/2,186,356 = 2,186,356/x
  3. Step 3: Cross multiply
    1,014,689x = 2,186,356 × 2,186,356
  4. Step 4: Simplify right side
    1,014,689x = 4,780,152,558,736
  5. Step 5: Solve for x
    x = 4,780,152,558,736/1,014,689
  6. Step 6: Final answer
    x = 4,710,953.36

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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.