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Finding the Third Proportional to 830,756.25 and 1,187,996.63

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Solution

The third proportional to 830,756.25 and 1,187,996.63 is: 1,698,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,756.25 : 1,187,996.63 = 1,187,996.63 : x
  2. Step 2: Convert to fraction form
    830,756.25/1,187,996.63 = 1,187,996.63/x
  3. Step 3: Cross multiply
    830,756.25x = 1,187,996.63 × 1,187,996.63
  4. Step 4: Simplify right side
    830,756.25x = 1,411,335,981,011.39
  5. Step 5: Solve for x
    x = 1,411,335,981,011.39/830,756.25
  6. Step 6: Final answer
    x = 1,698,856.89

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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.