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Finding the Third Proportional to 480,547 and 1,057,021

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Solution

The third proportional to 480,547 and 1,057,021 is: 2,325,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,547 : 1,057,021 = 1,057,021 : x
  2. Step 2: Convert to fraction form
    480,547/1,057,021 = 1,057,021/x
  3. Step 3: Cross multiply
    480,547x = 1,057,021 × 1,057,021
  4. Step 4: Simplify right side
    480,547x = 1,117,293,394,441
  5. Step 5: Solve for x
    x = 1,117,293,394,441/480,547
  6. Step 6: Final answer
    x = 2,325,044.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.