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Finding the Third Proportional to 719,368 and 1,459,999

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Solution

The third proportional to 719,368 and 1,459,999 is: 2,963,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,368 : 1,459,999 = 1,459,999 : x
  2. Step 2: Convert to fraction form
    719,368/1,459,999 = 1,459,999/x
  3. Step 3: Cross multiply
    719,368x = 1,459,999 × 1,459,999
  4. Step 4: Simplify right side
    719,368x = 2,131,597,080,001
  5. Step 5: Solve for x
    x = 2,131,597,080,001/719,368
  6. Step 6: Final answer
    x = 2,963,152.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.