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Finding the Third Proportional to 1,580,724 and 3,410,280

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Solution

The third proportional to 1,580,724 and 3,410,280 is: 7,357,394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,724 : 3,410,280 = 3,410,280 : x
  2. Step 2: Convert to fraction form
    1,580,724/3,410,280 = 3,410,280/x
  3. Step 3: Cross multiply
    1,580,724x = 3,410,280 × 3,410,280
  4. Step 4: Simplify right side
    1,580,724x = 11,630,009,678,400
  5. Step 5: Solve for x
    x = 11,630,009,678,400/1,580,724
  6. Step 6: Final answer
    x = 7,357,394.26

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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.