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Finding the Third Proportional to 803,002 and 1,245,270

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Solution

The third proportional to 803,002 and 1,245,270 is: 1,931,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,002 : 1,245,270 = 1,245,270 : x
  2. Step 2: Convert to fraction form
    803,002/1,245,270 = 1,245,270/x
  3. Step 3: Cross multiply
    803,002x = 1,245,270 × 1,245,270
  4. Step 4: Simplify right side
    803,002x = 1,550,697,372,900
  5. Step 5: Solve for x
    x = 1,550,697,372,900/803,002
  6. Step 6: Final answer
    x = 1,931,125.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.