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Finding the Third Proportional to 1,456,287.19 and 2,184,430.78

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Solution

The third proportional to 1,456,287.19 and 2,184,430.78 is: 3,276,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,287.19 : 2,184,430.78 = 2,184,430.78 : x
  2. Step 2: Convert to fraction form
    1,456,287.19/2,184,430.78 = 2,184,430.78/x
  3. Step 3: Cross multiply
    1,456,287.19x = 2,184,430.78 × 2,184,430.78
  4. Step 4: Simplify right side
    1,456,287.19x = 4,771,737,838,072.49
  5. Step 5: Solve for x
    x = 4,771,737,838,072.49/1,456,287.19
  6. Step 6: Final answer
    x = 3,276,646.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.