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Finding the Third Proportional to 786,166 and 1,185,769

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Solution

The third proportional to 786,166 and 1,185,769 is: 1,788,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,166 : 1,185,769 = 1,185,769 : x
  2. Step 2: Convert to fraction form
    786,166/1,185,769 = 1,185,769/x
  3. Step 3: Cross multiply
    786,166x = 1,185,769 × 1,185,769
  4. Step 4: Simplify right side
    786,166x = 1,406,048,121,361
  5. Step 5: Solve for x
    x = 1,406,048,121,361/786,166
  6. Step 6: Final answer
    x = 1,788,487.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.