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Finding the Third Proportional to 665,160 and 1,459,078.50

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Solution

The third proportional to 665,160 and 1,459,078.50 is: 3,200,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,160 : 1,459,078.50 = 1,459,078.50 : x
  2. Step 2: Convert to fraction form
    665,160/1,459,078.50 = 1,459,078.50/x
  3. Step 3: Cross multiply
    665,160x = 1,459,078.50 × 1,459,078.50
  4. Step 4: Simplify right side
    665,160x = 2,128,910,069,162.25
  5. Step 5: Solve for x
    x = 2,128,910,069,162.25/665,160
  6. Step 6: Final answer
    x = 3,200,598.46

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