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Finding the Third Proportional to 830,520.84 and 1,187,643.52

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Solution

The third proportional to 830,520.84 and 1,187,643.52 is: 1,698,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,520.84 : 1,187,643.52 = 1,187,643.52 : x
  2. Step 2: Convert to fraction form
    830,520.84/1,187,643.52 = 1,187,643.52/x
  3. Step 3: Cross multiply
    830,520.84x = 1,187,643.52 × 1,187,643.52
  4. Step 4: Simplify right side
    830,520.84x = 1,410,497,120,206.11
  5. Step 5: Solve for x
    x = 1,410,497,120,206.11/830,520.84
  6. Step 6: Final answer
    x = 1,698,328.38

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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.