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Finding the Third Proportional to 738,062 and 943,095

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Solution

The third proportional to 738,062 and 943,095 is: 1,205,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,062 : 943,095 = 943,095 : x
  2. Step 2: Convert to fraction form
    738,062/943,095 = 943,095/x
  3. Step 3: Cross multiply
    738,062x = 943,095 × 943,095
  4. Step 4: Simplify right side
    738,062x = 889,428,179,025
  5. Step 5: Solve for x
    x = 889,428,179,025/738,062
  6. Step 6: Final answer
    x = 1,205,085.99

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.