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Finding the Third Proportional to 654,607 and 1,015,963

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Solution

The third proportional to 654,607 and 1,015,963 is: 1,576,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,607 : 1,015,963 = 1,015,963 : x
  2. Step 2: Convert to fraction form
    654,607/1,015,963 = 1,015,963/x
  3. Step 3: Cross multiply
    654,607x = 1,015,963 × 1,015,963
  4. Step 4: Simplify right side
    654,607x = 1,032,180,817,369
  5. Step 5: Solve for x
    x = 1,032,180,817,369/654,607
  6. Step 6: Final answer
    x = 1,576,794.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.