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Finding the Third Proportional to 684,752 and 1,064,505

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Solution

The third proportional to 684,752 and 1,064,505 is: 1,654,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,752 : 1,064,505 = 1,064,505 : x
  2. Step 2: Convert to fraction form
    684,752/1,064,505 = 1,064,505/x
  3. Step 3: Cross multiply
    684,752x = 1,064,505 × 1,064,505
  4. Step 4: Simplify right side
    684,752x = 1,133,170,895,025
  5. Step 5: Solve for x
    x = 1,133,170,895,025/684,752
  6. Step 6: Final answer
    x = 1,654,863.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.