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Finding the Third Proportional to 838,584 and 1,328,508

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Solution

The third proportional to 838,584 and 1,328,508 is: 2,104,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,584 : 1,328,508 = 1,328,508 : x
  2. Step 2: Convert to fraction form
    838,584/1,328,508 = 1,328,508/x
  3. Step 3: Cross multiply
    838,584x = 1,328,508 × 1,328,508
  4. Step 4: Simplify right side
    838,584x = 1,764,933,506,064
  5. Step 5: Solve for x
    x = 1,764,933,506,064/838,584
  6. Step 6: Final answer
    x = 2,104,659.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.