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Finding the Third Proportional to 1,680,278 and 3,687,160

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Solution

The third proportional to 1,680,278 and 3,687,160 is: 8,091,011.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,278 : 3,687,160 = 3,687,160 : x
  2. Step 2: Convert to fraction form
    1,680,278/3,687,160 = 3,687,160/x
  3. Step 3: Cross multiply
    1,680,278x = 3,687,160 × 3,687,160
  4. Step 4: Simplify right side
    1,680,278x = 13,595,148,865,600
  5. Step 5: Solve for x
    x = 13,595,148,865,600/1,680,278
  6. Step 6: Final answer
    x = 8,091,011.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.