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Finding the Third Proportional to 784,102 and 1,153,180

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Solution

The third proportional to 784,102 and 1,153,180 is: 1,695,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,102 : 1,153,180 = 1,153,180 : x
  2. Step 2: Convert to fraction form
    784,102/1,153,180 = 1,153,180/x
  3. Step 3: Cross multiply
    784,102x = 1,153,180 × 1,153,180
  4. Step 4: Simplify right side
    784,102x = 1,329,824,112,400
  5. Step 5: Solve for x
    x = 1,329,824,112,400/784,102
  6. Step 6: Final answer
    x = 1,695,983.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.