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Finding the Third Proportional to 654,613 and 1,015,972

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Solution

The third proportional to 654,613 and 1,015,972 is: 1,576,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,613 : 1,015,972 = 1,015,972 : x
  2. Step 2: Convert to fraction form
    654,613/1,015,972 = 1,015,972/x
  3. Step 3: Cross multiply
    654,613x = 1,015,972 × 1,015,972
  4. Step 4: Simplify right side
    654,613x = 1,032,199,104,784
  5. Step 5: Solve for x
    x = 1,032,199,104,784/654,613
  6. Step 6: Final answer
    x = 1,576,808.14

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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.