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Finding the Third Proportional to 662,029 and 1,403,507

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Solution

The third proportional to 662,029 and 1,403,507 is: 2,975,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,029 : 1,403,507 = 1,403,507 : x
  2. Step 2: Convert to fraction form
    662,029/1,403,507 = 1,403,507/x
  3. Step 3: Cross multiply
    662,029x = 1,403,507 × 1,403,507
  4. Step 4: Simplify right side
    662,029x = 1,969,831,899,049
  5. Step 5: Solve for x
    x = 1,969,831,899,049/662,029
  6. Step 6: Final answer
    x = 2,975,446.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.