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Finding the Third Proportional to 964,658 and 2,095,384

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Solution

The third proportional to 964,658 and 2,095,384 is: 4,551,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,658 : 2,095,384 = 2,095,384 : x
  2. Step 2: Convert to fraction form
    964,658/2,095,384 = 2,095,384/x
  3. Step 3: Cross multiply
    964,658x = 2,095,384 × 2,095,384
  4. Step 4: Simplify right side
    964,658x = 4,390,634,107,456
  5. Step 5: Solve for x
    x = 4,390,634,107,456/964,658
  6. Step 6: Final answer
    x = 4,551,492.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.