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Finding the Third Proportional to 786,374 and 1,186,077

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Solution

The third proportional to 786,374 and 1,186,077 is: 1,788,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,374 : 1,186,077 = 1,186,077 : x
  2. Step 2: Convert to fraction form
    786,374/1,186,077 = 1,186,077/x
  3. Step 3: Cross multiply
    786,374x = 1,186,077 × 1,186,077
  4. Step 4: Simplify right side
    786,374x = 1,406,778,649,929
  5. Step 5: Solve for x
    x = 1,406,778,649,929/786,374
  6. Step 6: Final answer
    x = 1,788,943.49

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