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Finding the Third Proportional to 1,688,921 and 2,614,164

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Solution

The third proportional to 1,688,921 and 2,614,164 is: 4,046,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,921 : 2,614,164 = 2,614,164 : x
  2. Step 2: Convert to fraction form
    1,688,921/2,614,164 = 2,614,164/x
  3. Step 3: Cross multiply
    1,688,921x = 2,614,164 × 2,614,164
  4. Step 4: Simplify right side
    1,688,921x = 6,833,853,418,896
  5. Step 5: Solve for x
    x = 6,833,853,418,896/1,688,921
  6. Step 6: Final answer
    x = 4,046,283.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.