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Finding the Third Proportional to 507,459 and 1,105,326

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Solution

The third proportional to 507,459 and 1,105,326 is: 2,407,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,459 : 1,105,326 = 1,105,326 : x
  2. Step 2: Convert to fraction form
    507,459/1,105,326 = 1,105,326/x
  3. Step 3: Cross multiply
    507,459x = 1,105,326 × 1,105,326
  4. Step 4: Simplify right side
    507,459x = 1,221,745,566,276
  5. Step 5: Solve for x
    x = 1,221,745,566,276/507,459
  6. Step 6: Final answer
    x = 2,407,574.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.