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Finding the Third Proportional to 1,070,980 and 1,427,814

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Solution

The third proportional to 1,070,980 and 1,427,814 is: 1,903,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,980 : 1,427,814 = 1,427,814 : x
  2. Step 2: Convert to fraction form
    1,070,980/1,427,814 = 1,427,814/x
  3. Step 3: Cross multiply
    1,070,980x = 1,427,814 × 1,427,814
  4. Step 4: Simplify right side
    1,070,980x = 2,038,652,818,596
  5. Step 5: Solve for x
    x = 2,038,652,818,596/1,070,980
  6. Step 6: Final answer
    x = 1,903,539.58

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.