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Finding the Third Proportional to 2,546,420 and 3,460,386

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Solution

The third proportional to 2,546,420 and 3,460,386 is: 4,702,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546,420 : 3,460,386 = 3,460,386 : x
  2. Step 2: Convert to fraction form
    2,546,420/3,460,386 = 3,460,386/x
  3. Step 3: Cross multiply
    2,546,420x = 3,460,386 × 3,460,386
  4. Step 4: Simplify right side
    2,546,420x = 11,974,271,268,996
  5. Step 5: Solve for x
    x = 11,974,271,268,996/2,546,420
  6. Step 6: Final answer
    x = 4,702,394.45

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.