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Finding the Third Proportional to 762,905 and 1,121,002

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Solution

The third proportional to 762,905 and 1,121,002 is: 1,647,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,905 : 1,121,002 = 1,121,002 : x
  2. Step 2: Convert to fraction form
    762,905/1,121,002 = 1,121,002/x
  3. Step 3: Cross multiply
    762,905x = 1,121,002 × 1,121,002
  4. Step 4: Simplify right side
    762,905x = 1,256,645,484,004
  5. Step 5: Solve for x
    x = 1,256,645,484,004/762,905
  6. Step 6: Final answer
    x = 1,647,184.75

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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.