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Finding the Third Proportional to 416,664 and 896,558.63

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Solution

The third proportional to 416,664 and 896,558.63 is: 1,929,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,664 : 896,558.63 = 896,558.63 : x
  2. Step 2: Convert to fraction form
    416,664/896,558.63 = 896,558.63/x
  3. Step 3: Cross multiply
    416,664x = 896,558.63 × 896,558.63
  4. Step 4: Simplify right side
    416,664x = 803,817,368,061.89
  5. Step 5: Solve for x
    x = 803,817,368,061.89/416,664
  6. Step 6: Final answer
    x = 1,929,174.03

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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.