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Finding the Third Proportional to 666,507 and 1,431,510

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Solution

The third proportional to 666,507 and 1,431,510 is: 3,074,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,507 : 1,431,510 = 1,431,510 : x
  2. Step 2: Convert to fraction form
    666,507/1,431,510 = 1,431,510/x
  3. Step 3: Cross multiply
    666,507x = 1,431,510 × 1,431,510
  4. Step 4: Simplify right side
    666,507x = 2,049,220,880,100
  5. Step 5: Solve for x
    x = 2,049,220,880,100/666,507
  6. Step 6: Final answer
    x = 3,074,567.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.