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Finding the Third Proportional to 830,527 and 1,187,652

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Solution

The third proportional to 830,527 and 1,187,652 is: 1,698,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,527 : 1,187,652 = 1,187,652 : x
  2. Step 2: Convert to fraction form
    830,527/1,187,652 = 1,187,652/x
  3. Step 3: Cross multiply
    830,527x = 1,187,652 × 1,187,652
  4. Step 4: Simplify right side
    830,527x = 1,410,517,273,104
  5. Step 5: Solve for x
    x = 1,410,517,273,104/830,527
  6. Step 6: Final answer
    x = 1,698,340.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.