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Finding the Third Proportional to 674,547 and 1,444,728

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Solution

The third proportional to 674,547 and 1,444,728 is: 3,094,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,547 : 1,444,728 = 1,444,728 : x
  2. Step 2: Convert to fraction form
    674,547/1,444,728 = 1,444,728/x
  3. Step 3: Cross multiply
    674,547x = 1,444,728 × 1,444,728
  4. Step 4: Simplify right side
    674,547x = 2,087,238,993,984
  5. Step 5: Solve for x
    x = 2,087,238,993,984/674,547
  6. Step 6: Final answer
    x = 3,094,282.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.