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Finding the Third Proportional to 669,411 and 1,447,596

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Solution

The third proportional to 669,411 and 1,447,596 is: 3,130,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,411 : 1,447,596 = 1,447,596 : x
  2. Step 2: Convert to fraction form
    669,411/1,447,596 = 1,447,596/x
  3. Step 3: Cross multiply
    669,411x = 1,447,596 × 1,447,596
  4. Step 4: Simplify right side
    669,411x = 2,095,534,179,216
  5. Step 5: Solve for x
    x = 2,095,534,179,216/669,411
  6. Step 6: Final answer
    x = 3,130,414.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.