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Finding the Third Proportional to 658,738 and 1,417,340

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Solution

The third proportional to 658,738 and 1,417,340 is: 3,049,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,738 : 1,417,340 = 1,417,340 : x
  2. Step 2: Convert to fraction form
    658,738/1,417,340 = 1,417,340/x
  3. Step 3: Cross multiply
    658,738x = 1,417,340 × 1,417,340
  4. Step 4: Simplify right side
    658,738x = 2,008,852,675,600
  5. Step 5: Solve for x
    x = 2,008,852,675,600/658,738
  6. Step 6: Final answer
    x = 3,049,547.28

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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.