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Finding the Third Proportional to 658,731 and 1,417,362

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Solution

The third proportional to 658,731 and 1,417,362 is: 3,049,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,731 : 1,417,362 = 1,417,362 : x
  2. Step 2: Convert to fraction form
    658,731/1,417,362 = 1,417,362/x
  3. Step 3: Cross multiply
    658,731x = 1,417,362 × 1,417,362
  4. Step 4: Simplify right side
    658,731x = 2,008,915,039,044
  5. Step 5: Solve for x
    x = 2,008,915,039,044/658,731
  6. Step 6: Final answer
    x = 3,049,674.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.