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Finding the Third Proportional to 1,071,902 and 1,706,253

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Solution

The third proportional to 1,071,902 and 1,706,253 is: 2,716,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,902 : 1,706,253 = 1,706,253 : x
  2. Step 2: Convert to fraction form
    1,071,902/1,706,253 = 1,706,253/x
  3. Step 3: Cross multiply
    1,071,902x = 1,706,253 × 1,706,253
  4. Step 4: Simplify right side
    1,071,902x = 2,911,299,300,009
  5. Step 5: Solve for x
    x = 2,911,299,300,009/1,071,902
  6. Step 6: Final answer
    x = 2,716,012.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.