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Finding the Third Proportional to 665,175 and 1,459,113

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Solution

The third proportional to 665,175 and 1,459,113 is: 3,200,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,175 : 1,459,113 = 1,459,113 : x
  2. Step 2: Convert to fraction form
    665,175/1,459,113 = 1,459,113/x
  3. Step 3: Cross multiply
    665,175x = 1,459,113 × 1,459,113
  4. Step 4: Simplify right side
    665,175x = 2,129,010,746,769
  5. Step 5: Solve for x
    x = 2,129,010,746,769/665,175
  6. Step 6: Final answer
    x = 3,200,677.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.