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Finding the Third Proportional to 927,000 and 1,953,648

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Solution

The third proportional to 927,000 and 1,953,648 is: 4,117,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,000 : 1,953,648 = 1,953,648 : x
  2. Step 2: Convert to fraction form
    927,000/1,953,648 = 1,953,648/x
  3. Step 3: Cross multiply
    927,000x = 1,953,648 × 1,953,648
  4. Step 4: Simplify right side
    927,000x = 3,816,740,507,904
  5. Step 5: Solve for x
    x = 3,816,740,507,904/927,000
  6. Step 6: Final answer
    x = 4,117,303.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.