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Finding the Third Proportional to 638,746 and 1,064,515

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Solution

The third proportional to 638,746 and 1,064,515 is: 1,774,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,746 : 1,064,515 = 1,064,515 : x
  2. Step 2: Convert to fraction form
    638,746/1,064,515 = 1,064,515/x
  3. Step 3: Cross multiply
    638,746x = 1,064,515 × 1,064,515
  4. Step 4: Simplify right side
    638,746x = 1,133,192,185,225
  5. Step 5: Solve for x
    x = 1,133,192,185,225/638,746
  6. Step 6: Final answer
    x = 1,774,088.89

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.