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Finding the Third Proportional to 427,952 and 927,264

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Solution

The third proportional to 427,952 and 927,264 is: 2,009,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,952 : 927,264 = 927,264 : x
  2. Step 2: Convert to fraction form
    427,952/927,264 = 927,264/x
  3. Step 3: Cross multiply
    427,952x = 927,264 × 927,264
  4. Step 4: Simplify right side
    427,952x = 859,818,525,696
  5. Step 5: Solve for x
    x = 859,818,525,696/427,952
  6. Step 6: Final answer
    x = 2,009,147.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.