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Finding the Third Proportional to 544,106 and 1,184,572

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Solution

The third proportional to 544,106 and 1,184,572 is: 2,578,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,106 : 1,184,572 = 1,184,572 : x
  2. Step 2: Convert to fraction form
    544,106/1,184,572 = 1,184,572/x
  3. Step 3: Cross multiply
    544,106x = 1,184,572 × 1,184,572
  4. Step 4: Simplify right side
    544,106x = 1,403,210,823,184
  5. Step 5: Solve for x
    x = 1,403,210,823,184/544,106
  6. Step 6: Final answer
    x = 2,578,929.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.