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Finding the Third Proportional to 713,966 and 1,501,561

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Solution

The third proportional to 713,966 and 1,501,561 is: 3,157,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,966 : 1,501,561 = 1,501,561 : x
  2. Step 2: Convert to fraction form
    713,966/1,501,561 = 1,501,561/x
  3. Step 3: Cross multiply
    713,966x = 1,501,561 × 1,501,561
  4. Step 4: Simplify right side
    713,966x = 2,254,685,436,721
  5. Step 5: Solve for x
    x = 2,254,685,436,721/713,966
  6. Step 6: Final answer
    x = 3,157,973.12

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.