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Finding the Third Proportional to 1,602,695 and 3,454,222

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Solution

The third proportional to 1,602,695 and 3,454,222 is: 7,444,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,695 : 3,454,222 = 3,454,222 : x
  2. Step 2: Convert to fraction form
    1,602,695/3,454,222 = 3,454,222/x
  3. Step 3: Cross multiply
    1,602,695x = 3,454,222 × 3,454,222
  4. Step 4: Simplify right side
    1,602,695x = 11,931,649,625,284
  5. Step 5: Solve for x
    x = 11,931,649,625,284/1,602,695
  6. Step 6: Final answer
    x = 7,444,741.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.