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Finding the Third Proportional to 830,580 and 1,187,733

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Solution

The third proportional to 830,580 and 1,187,733 is: 1,698,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,580 : 1,187,733 = 1,187,733 : x
  2. Step 2: Convert to fraction form
    830,580/1,187,733 = 1,187,733/x
  3. Step 3: Cross multiply
    830,580x = 1,187,733 × 1,187,733
  4. Step 4: Simplify right side
    830,580x = 1,410,709,679,289
  5. Step 5: Solve for x
    x = 1,410,709,679,289/830,580
  6. Step 6: Final answer
    x = 1,698,463.34

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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.