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Finding the Third Proportional to 838,064 and 1,808,928

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Solution

The third proportional to 838,064 and 1,808,928 is: 3,904,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,064 : 1,808,928 = 1,808,928 : x
  2. Step 2: Convert to fraction form
    838,064/1,808,928 = 1,808,928/x
  3. Step 3: Cross multiply
    838,064x = 1,808,928 × 1,808,928
  4. Step 4: Simplify right side
    838,064x = 3,272,220,509,184
  5. Step 5: Solve for x
    x = 3,272,220,509,184/838,064
  6. Step 6: Final answer
    x = 3,904,499.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.