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Finding the Third Proportional to 765,696 and 1,141,062

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Solution

The third proportional to 765,696 and 1,141,062 is: 1,700,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,696 : 1,141,062 = 1,141,062 : x
  2. Step 2: Convert to fraction form
    765,696/1,141,062 = 1,141,062/x
  3. Step 3: Cross multiply
    765,696x = 1,141,062 × 1,141,062
  4. Step 4: Simplify right side
    765,696x = 1,302,022,487,844
  5. Step 5: Solve for x
    x = 1,302,022,487,844/765,696
  6. Step 6: Final answer
    x = 1,700,443.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.