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Finding the Third Proportional to 759,564 and 1,141,806

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Solution

The third proportional to 759,564 and 1,141,806 is: 1,716,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,564 : 1,141,806 = 1,141,806 : x
  2. Step 2: Convert to fraction form
    759,564/1,141,806 = 1,141,806/x
  3. Step 3: Cross multiply
    759,564x = 1,141,806 × 1,141,806
  4. Step 4: Simplify right side
    759,564x = 1,303,720,941,636
  5. Step 5: Solve for x
    x = 1,303,720,941,636/759,564
  6. Step 6: Final answer
    x = 1,716,406.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.