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Finding the Third Proportional to 768,634 and 1,155,411

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Solution

The third proportional to 768,634 and 1,155,411 is: 1,736,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,634 : 1,155,411 = 1,155,411 : x
  2. Step 2: Convert to fraction form
    768,634/1,155,411 = 1,155,411/x
  3. Step 3: Cross multiply
    768,634x = 1,155,411 × 1,155,411
  4. Step 4: Simplify right side
    768,634x = 1,334,974,578,921
  5. Step 5: Solve for x
    x = 1,334,974,578,921/768,634
  6. Step 6: Final answer
    x = 1,736,814.37

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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.