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Finding the Third Proportional to 1,064,202 and 1,565,181

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Solution

The third proportional to 1,064,202 and 1,565,181 is: 2,301,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,202 : 1,565,181 = 1,565,181 : x
  2. Step 2: Convert to fraction form
    1,064,202/1,565,181 = 1,565,181/x
  3. Step 3: Cross multiply
    1,064,202x = 1,565,181 × 1,565,181
  4. Step 4: Simplify right side
    1,064,202x = 2,449,791,562,761
  5. Step 5: Solve for x
    x = 2,449,791,562,761/1,064,202
  6. Step 6: Final answer
    x = 2,301,998.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.