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Finding the Third Proportional to 1,064,114 and 1,435,683

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Solution

The third proportional to 1,064,114 and 1,435,683 is: 1,936,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,114 : 1,435,683 = 1,435,683 : x
  2. Step 2: Convert to fraction form
    1,064,114/1,435,683 = 1,435,683/x
  3. Step 3: Cross multiply
    1,064,114x = 1,435,683 × 1,435,683
  4. Step 4: Simplify right side
    1,064,114x = 2,061,185,676,489
  5. Step 5: Solve for x
    x = 2,061,185,676,489/1,064,114
  6. Step 6: Final answer
    x = 1,936,997.05

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.