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Finding the Third Proportional to 1,070,400 and 1,457,964

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Solution

The third proportional to 1,070,400 and 1,457,964 is: 1,985,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,400 : 1,457,964 = 1,457,964 : x
  2. Step 2: Convert to fraction form
    1,070,400/1,457,964 = 1,457,964/x
  3. Step 3: Cross multiply
    1,070,400x = 1,457,964 × 1,457,964
  4. Step 4: Simplify right side
    1,070,400x = 2,125,659,025,296
  5. Step 5: Solve for x
    x = 2,125,659,025,296/1,070,400
  6. Step 6: Final answer
    x = 1,985,854.84

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.