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Finding the Third Proportional to 743,771 and 1,526,746

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Solution

The third proportional to 743,771 and 1,526,746 is: 3,133,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,771 : 1,526,746 = 1,526,746 : x
  2. Step 2: Convert to fraction form
    743,771/1,526,746 = 1,526,746/x
  3. Step 3: Cross multiply
    743,771x = 1,526,746 × 1,526,746
  4. Step 4: Simplify right side
    743,771x = 2,330,953,348,516
  5. Step 5: Solve for x
    x = 2,330,953,348,516/743,771
  6. Step 6: Final answer
    x = 3,133,966.43

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.