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Finding the Third Proportional to 471,460 and 1,017,602

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Solution

The third proportional to 471,460 and 1,017,602 is: 2,196,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,460 : 1,017,602 = 1,017,602 : x
  2. Step 2: Convert to fraction form
    471,460/1,017,602 = 1,017,602/x
  3. Step 3: Cross multiply
    471,460x = 1,017,602 × 1,017,602
  4. Step 4: Simplify right side
    471,460x = 1,035,513,830,404
  5. Step 5: Solve for x
    x = 1,035,513,830,404/471,460
  6. Step 6: Final answer
    x = 2,196,398.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.