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Finding the Third Proportional to 717,738 and 1,045,476

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Solution

The third proportional to 717,738 and 1,045,476 is: 1,522,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,738 : 1,045,476 = 1,045,476 : x
  2. Step 2: Convert to fraction form
    717,738/1,045,476 = 1,045,476/x
  3. Step 3: Cross multiply
    717,738x = 1,045,476 × 1,045,476
  4. Step 4: Simplify right side
    717,738x = 1,093,020,066,576
  5. Step 5: Solve for x
    x = 1,093,020,066,576/717,738
  6. Step 6: Final answer
    x = 1,522,867.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.