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Finding the Third Proportional to 786,364 and 1,186,043

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Solution

The third proportional to 786,364 and 1,186,043 is: 1,788,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,364 : 1,186,043 = 1,186,043 : x
  2. Step 2: Convert to fraction form
    786,364/1,186,043 = 1,186,043/x
  3. Step 3: Cross multiply
    786,364x = 1,186,043 × 1,186,043
  4. Step 4: Simplify right side
    786,364x = 1,406,697,997,849
  5. Step 5: Solve for x
    x = 1,406,697,997,849/786,364
  6. Step 6: Final answer
    x = 1,788,863.68

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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.