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Finding the Third Proportional to 1,954,064.25 and 4,242,348

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Solution

The third proportional to 1,954,064.25 and 4,242,348 is: 9,210,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954,064.25 : 4,242,348 = 4,242,348 : x
  2. Step 2: Convert to fraction form
    1,954,064.25/4,242,348 = 4,242,348/x
  3. Step 3: Cross multiply
    1,954,064.25x = 4,242,348 × 4,242,348
  4. Step 4: Simplify right side
    1,954,064.25x = 17,997,516,553,104
  5. Step 5: Solve for x
    x = 17,997,516,553,104/1,954,064.25
  6. Step 6: Final answer
    x = 9,210,299.28

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