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Finding the Third Proportional to 1,071,840 and 1,706,164

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Solution

The third proportional to 1,071,840 and 1,706,164 is: 2,715,886.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,840 : 1,706,164 = 1,706,164 : x
  2. Step 2: Convert to fraction form
    1,071,840/1,706,164 = 1,706,164/x
  3. Step 3: Cross multiply
    1,071,840x = 1,706,164 × 1,706,164
  4. Step 4: Simplify right side
    1,071,840x = 2,910,995,594,896
  5. Step 5: Solve for x
    x = 2,910,995,594,896/1,071,840
  6. Step 6: Final answer
    x = 2,715,886.32

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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.